Find the fourth term
$2 : 3 = 28 : x$

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Solution

Step-1: Write $a, b, c a n d d$ as $2 : 3 = 28 : x$ is written in the form of $a : b = c : d$
$a = 2$ $b = 3$ $c = 28$ $d = x$
Step-2: Write mean terms and extreme terms
$m e a n t e r m s : -$ $b = 3$ $c = 28$
$e x t r e m e t e r m s : -$ $a = 2$ $d = x$
Step-3: use $o n e e x t r e m e = \frac{p r o d u c t o f m e a n s}{o t h e r e x t r e m e}$ as one mean term is missing
$o n e e x t r e m e = \frac{p r o d u c t o f m e a n s}{o t h e r e x t r e m e}$
$x = \frac{28 \times 3}{2}$
$x = \frac{84}{2}$ ( Simplify $\frac{84}{2}$ by dividing by a common factor $2$ in the numerator and denominator separately )
$x = 42$
Hence, the fourth term is $x = 42$

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