Question

find the fourth proportional to 8,9 24

Answer 1

${\sf{{\pink{AnsweR:}}}}$

$\sf\:Let\:the\:fourth\:proportional\:be\:x$

$\sf\:So\:,\:8\::9\:::\:24\::x$

$\sf↦\:\frac{8}{9}\:=\:\frac{24}{x}$

Cross multiplying :

$\sf↦\:8\times\:x=24\times\:9$

$\sf↦\:8x=216$

$\sf↦\:x=\frac{216}{8}$

$\sf↦\:x=27$

So the fourth proportional is $\large{\underline{\boxed{\mathrm\purple{27}}}}$

• Thnku :)