Find the fourth proportion : 3,30 and 4
Answers
Step-by-step explanation:
i) 4th proportional to 3,12 and 4
=\frac{12\times4}{3}=312×4
= 16
(ii) 4th proportional to 5,9 and 45
=\frac{94\times5}{5}=594×5
= 81
(iii) 4th proportional to 2.1, 1.5 and 8.4
=\frac{1.5\times8.4}{2.1}=2.11.5×8.4
=1.5\times4=6.0=1.5×4=6.0
(iv) 4th proportional to \frac{1}{3},\frac{2}{5}\ and\ 8.431,52 and 8.4
=\frac{2}{5}\times8.4\times\frac{3}{1}=52×8.4×13
=\frac{2\times84\times3}{5\times10\times1}=\frac{252}{25}=10.08=5×10×12×84×3=25252=10.08
Answer:
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Step-by-step explanation:
let the fourth proportion be x
3:30:4:x
The ratios in the middle are called middle terms and are grouped together.
While the rations at the ending and the starting are called extreme terms.
product of extreme terms = product of middle terms
Therefore,
3*x = 30*4
3x = 120 (dividing 3 on both sides)
3x/3 = 120/3 (3 cancels 3 on RHS)
So,
x=40.
ANS: Therefore the 4th ratio is 40
3:30:4:40