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 Is there an error in this question or solution? |