Mathematics

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

Ratio Proportion

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Answer

Let the number to be added be x.

So, the new numbers 15 + x, 17 + x, 34 + x, 38 + x are proportional.

$\therefore \dfrac{15 + x}{17 + x} = \dfrac{34 + x}{38 + x} \\[1em] \Rightarrow (15 + x)(38 + x) = (34 + x)(17 + x) \\[1em] \Rightarrow (570 + 15x + 38x + x^2) = (578 + 34x + 17x + x^2) \\[1em] \Rightarrow x^2 + 53x - x^2 - 51x = 578 - 570 \\[1em] \Rightarrow 2x = 8 \\[1em] \Rightarrow x = 4.$

Hence, the number that must be added to each number is 4.

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Mathematics

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

Ratio Proportion

Answer

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

Ratio Proportion

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