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Question

What will be the first proportion when third proportion is 5. Second proportion is 4 more than the first proportion and fourth proportion is 7 more than the third proportion.
  1. 7
  2. 20
  3. 720
  4. 207


Solution

The correct option is D 207
Given, third proportion = 5
So, fourth proportion = 5 + 7 = 12

Let, the first proportion = a
then, second proportion = a + 4

Since the ratio are in proportion, we have
a : (a + 4) :: 5 : 12

Product of means = Product of extremes
(a + 4) × 5 = a × 12
5a + 20 = 12a
12a - 5a = 20
7a = 20
a = 207

So, Proportion = 
207 : (207 + 4) :: 5 : 12

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