Which number must be added to each of the numbers $5, 9, 17, 27$ to make them proportionate?

2

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3

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Solution

The correct option is B $3$
Let x be added to $5, 9, 17, 27$ to make them proportional
$(5 + x) : (9 + x) = (17 + x) : (27 + x)$
Product of mean=Product of extreme
$(17 + x) (9 + x) = (5 + x) (27 + x)$
$153 + 17 x + 9 x + x^{2} = 135 + 5 x + 27 x + x^{2}$
$153 + 26 x = 135 + 32 x$
$32 x - 26 x = 153 - 135$
$6 x = 18$
$x = 3$

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