Question

The first, second and third proportion are 51, 85 & 57 respectively. Find the fourth proportional.

Answer 1

Answer:

answer 91 because

Step-by-step explanation:

difference between 51 and 85 is 34 but the difference between 85 and 57 is 28 and the difference between 34 and 28 is 6 and add 6 to 85 is 91 if it is wrong please ignore this answer

Answer 2

$\large\sf\underline{Given:}$

• First proportional = 51

• Second proportional = 85

• Third proportional = 57

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$\large\sf\underline{To\:find:}$

• Fourth proportional = ??

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$\large\sf\underline{Assumption:}$

• Let the fourth proportional be x .

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$\large\sf\underline{Solution:}$

According to the question :

$\sf\:51:85::57:x$

$\sf\implies\:\frac{51}{85}=\frac{57}{x}$

• Cross multiplying

$\sf\implies\:51x=57 \times 85$

$\sf\implies\:51x=4845$

$\sf\implies\:x=\cancel{\frac{4845}{51}}$

$\large{\mathfrak\red{\implies\:x=95}}$

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$\dag\:\underline{\sf So\:the\:fourth\: proportional\:is \:95.}$

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‎ ┍━━━━━━━━━━━━━━━━━━━━━━━┑

⠀‎⠀⠀⠀‎$\small\rm\purple\star\:\underline{Verification\:of\:my\:answer:}$

⠀‎⠀⠀⠀‎$\sf\:51:85::57:x$

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• Substituting the value of x as 95

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⠀‎⠀⠀⠀‎$\sf\implies\:\frac{51}{85}=\frac{57}{95}$

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• Cross multiplying

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⠀‎⠀⠀⠀‎$\sf\implies\:51 \times 95=57 \times 85$

⠀‎⠀⠀⠀‎$\sf\implies\:4845=4845$

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⠀‎⠀⠀⠀‎‎${\sf{{\blue{[\: Hence\: Verified\:]}}}}$

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!! Hope it helps !!