Question

The fourth proportional to 5,9 and 20 is
40
32
36
42​

Answer 1

Answer:

36

Step-by-step explanation:

Let x is the fourth proportion, then,

$\frac{5}{9} = \frac{20}{x}$

$5x = 9 \times 20$

$x = \frac{9 \times 20}{5}$

$x = 9 \times 4$

$x = 36$

HOPE it will HELP you✌️

PLEASE mark the answer as BRAINLIEST. ✍️

Answer 2

${\huge{\boxed{\tt{\color {lime}{✿Answer:-}}}}}$

5:9::20:36

${\boxed{\tt{\color {orange}{✿\: Step-\: By-\: Step\: \:Explaination:-\:}}}}$

Let the fourth proportion be x. Then,

${\tt{\color {turquoise}{:⇒ ad = bc}}} \\ {\tt{\color {turquoise}{:⇒ 5×x = 9×20}}}</p><p> \\ {\tt{\color {turquoise}{:⇒x = (\frac{9 \times 20}{5})}}} \\{\tt{\color {turquoise}{:⇒}}} \: {\tt{\boxed{\color {turquoise}{x =36}}}}$

 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

${\huge{\boxed{\tt{\color {pink}{✿\: To\: Verify:-}}}}}$

We need to check, that if the numbers are in proportion or not. So, To check whether they are in proportion or not:-

${\tt{\color {turquoise}{:⇒ ad = bc}}} \\{\tt{\color {turquoise}{ :⇒ 5 \times 36 = 9 \times 20 }}}\\{\tt{\color {turquoise}{ :⇒ 180 = 180}}} \\{\tt{\color {turquoise}{ :⇒L.H.S. = R.H.S.}}} \\ \\ \\ {\tt{\color {turquoise}{:⇒[∴ \: Hence, verified✔]}}}$

 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

   ⠀  

   ⠀  

${\tt{\color {plum}{✿\: ~Thanx\:}}}$

${\tt{\color {purple}{You\:}}}$${\tt{\color {plum}{Very\:}}}$${\tt{\color {purple}{Much!\:}}}$

 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━