Question

The value of m, if 3, 18, m, 42 are in proportion is:

Answer 1

✰✰|| Given ||✰✰

• 1st proportional = 3

• 2nd proportional = 18

• Third proportional = m

• Fourth proportional = 42

✰✰|| To Find ||✰✰

• Value of m

✪|| Solution ||✪

3 : 18 :: m : 42

⇒ 3/18 = m/42

⇒ 126 = 18m

⇒ 126/18 = m

⇒ 7 = m

Value of m is 7

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\:\:$

$\green{\underline \bold{Given :}}$

$\:\:$

• 3, 18, m, 42 are in proportion.

$\:\:$

$\red{\underline \bold{To \: Find:}}$

$\:\:$

• The value of 'm'

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

$\purple\longrightarrow$ $\rm 3 : 18 :: m : 42$

$\:\:$

$\underline{\bold{\texttt{We know that,}}}$

$\:\:$

$\footnotesize{ \red{\bold{Product \: of \: extreme \: = \: Product \: of \: means}}}$

$\:\:$

$\sf \longmapsto 42 \times 3 = 18 \times m$

$\:\:$

$\sf \longmapsto 126 = 18m$

$\:\:$

$\sf \longmapsto m = \dfrac { 126 } { 18 }$

$\:\:$

$\sf \longmapsto m = 7$

$\rule{200}5$

$\underline{\bold{\texttt{Additional Information }}}$

$\:\:$

Extremes : Outer most numbers

$\:\:$

Means : Inner most numbers

$\:\:$

$\rule{200}9$