Question

find the number for the box , if the following numbers are in proportion
15 ,20 , ___ , 36​

Answer 1

Given:-

• find the number for the box , if the following numbers are in proportion 15 ,20 , ___ , 36.

Solution:-

$\small\bold{Let \: the \: number \: be}$ $\small\bold\pink{x.}$

As we know,

$\small\bold{product \: of}$ $\small\bold\pink{means}$ $\small\bold\red{=}$ $\small\bold{product \: of}$ $\small\bold\pink{extremes.}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = > 15 \times 36 = 20 \times x \\ \\ \\ \: \: \: \: \: \: \: \: or \\ \\ \\ \: \: \: \: \: \: \: \: \: \: \: = > 20x = 15 \times 36 \\ \\ \\ \: \: \: \: \: = > 20x = 540 \\ \\ \\ \: \: \: \: \: \: \: \: \: \: \: = > x = 540 \div 20 \\ \\ \\ = > x = 27$

Hey mate! The number is 27

Varifying:-

$\small\bold{insert \: the \: number}$ $\small\bold\pink{27}$ $\small\bold{in \: of \: }$ $\small\bold\pink{x.}$

$= > 20 \times 27 = 15 \times 36 \\ \\ \\ = > 540 = 540 \\ \\ \\ = > 0 = 0 \\ \\ \\ hence \: l.h.s = r.h.s$

Hope it was helpful....

Thanks for asking....☺❤