The fourth proportional to 5, 8, 15 is | vedclass

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(B) To find the fourth proportional to three numbers $a, b, c$,we use the relation $a : b :: c : x$,where $x$ is the fourth proportional.This can be w

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$24$

Vedclass · Answer

(B) To find the fourth proportional to three numbers $a, b, c$,we use the relation $a : b :: c : x$,where $x$ is the fourth proportional.This can be written as the equation $\frac{a}{b} = \frac{c}{x}$.Given the numbers $5, 8, 15$,we set up the proportion as $5 : 8 :: 15 : x$.This implies $\frac{5}{8} = \frac{15}{x}$.By cross-multiplying,we get $5x = 8 	imes 15$.$5x = 120$.$x = \frac{120}{5} = 24$.Therefore,the fourth proportional is $24$.

The fourth proportional to $5, 8, 15$ is

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