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  • Proportional Numbers Problems
  • Which of the following number should be added to 11 15 17 23 so that they are in proportion?
  • What number must be added to each of the numbers 15 17 34 and 38 to make them in proportion?
  • What number should be added to each of the numbers 13 17 and 22 so that the result is in proportion?
  • How do you make a number proportional?

In today’s post we are going to work with proportions. Today, we’ll start by looking at problems with
proportional numbers.

In order to solve problems with proportional numbers, the first step is to know the concepts of ratio and proportion.

Ratio

A ratio is the quotient of two numbers or quantities that are being compared to each other and it is expressed as a fraction. In other words, if we have number A and number B, their ratio is expressed in fraction
a/b.

Let’s check out some examples:

The ratio between 6 and 2 is 3 because 6/2 = 3

The ratio between 1 and
0.2 is 5 because
1/0.2 = 5

The ratio between 100 and 10 is 10 because 100/10 = 10

If you want to practice, you can apply the ratio concept to following exercises:

  • What is the ratio between the numbers 3 and 81?
  • How many times bigger is the number 224 than 16?
  • How many times smaller is the number 3
    than 17?
  • What is x’s value if the ratio between 8 and x is 1.6?
  • What are two numbers that have a ratio of 11?
  • Proportion

    But…Can we find different number pairs that have the same ratio between them?

    Of course we can! There are an infinite number of number pairs than meet this condition. For example, we are going to think of different number pairs that have 2.5 as their ratio:

    5 and 2; 10 and 4; 100 and 40; 2,5 and 1…

    We can represent these by doing the following:

    5/210/100/40 2.5/=2.5

    All of these number pairs are proportional to each other.

    So, we say that the numbers a, b, c and d are
    proportions if the ratio between a and b is the same as the ratio between c and d. This written as:

    a/b=c/d

    It’s read: a is to b as c is to d

    In this proportion, a and d are extremes, and b and c are means. In proportions, the product of the means needs to be equal to the product of the
    extremes
    .

    So, we do this by a x d  = b x c

    Proportional Numbers Problems

    You can practice some proportional number exercises, for example:

    Are the following ratios proportional to another?

  • 30/20 and 200/110
  • 800/50 and
    4/0.25
  • 3/4 and 15/75
  • What does x’s value need to be so that the following number pairs can be proportional to each other?

  • 6/15 and x/10
  • 0.15/x and 4/6
  • x/10 and
    19/15
  • What did you think about this post? We hope that it helped you understand proportional numbers problems!

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    Which of the following number should be added to 11 15 17 23 so that they are in proportion?

    If x is added to each of 11, 17, 23 and 33, then the numbers so obtained in this order are in proportion. Thus the correct answer is 32. The Staff Selection Commission has released the additional result for the SSC Selection Post Exam. This is in reference to Phase VIII/2020 Selection Post Exam.

    What number must be added to each of the numbers 15 17 34 and 38 to make them in proportion?

    Hence, 4 must be added to each of the numbers.

    What number should be added to each of the numbers 13 17 and 22 so that the result is in proportion?

    ∴ The required number to be added is 3.

    How do you make a number proportional?

    Note: The numbers are proportional when the ratio of the LHS of the proportions is equal to the RHS of the proportion. To check if the numbers are in proportion we just find their ratio of both the sides. If ab and c are unit vectors then left ab2 right+bc2+ca…
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