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The least number shall be added to each of numbers $4, 7, 14, 22$ to form a proportion

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answer is B.

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Detailed Solution

4 + x, 7 + x, 14 + x, 22 + x

are in proportion

$\frac{4 + x}{7 + x} = \frac{14 + x}{22 + x}$

$(4 + x) (22 + x) = (7 + x) (14 + x)$

$88 + 22 x + 4 x + x^{2} = 98 + 7 x + 14 x + x^{2}$

$88 + 26 x = 98 + 21 x$

$26 x - 21 x = 98 - 88$

$5 x = 10$

$x = 2$

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