What should be added to 3 15 38 and 134 so that the number becomes proportional to each other

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

Let x be added to each number, then numbers will be15 + x, 17 + x, 34 + x, and 38 + x.Now according to the condition`(15 + x)/(17 + x) = (34 + x)/(38 + x)`⇒ (15 – x)(38 + x) = (34 + x)(17 + x)

⇒ 570 + 53x + x2 = 578 + 51x + x2


⇒ x2 + 53x – x2 – 51x = 578 - 570⇒ 2x = 8⇒ x = 4

∴ 4 is to be added.

Concept: Concept of Proportion

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