Question

find (i) the fourth proportion to2a , 3b,and 4c

Answer 1

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1)
$2a \div 4 = a \div 2$
2)
$3a \div 4$
3)
$4c \div 4 = a$



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Answer 2

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Here is your answer.
Let the fourth proportional is x
So
2a : 3b = 4c : x
$x \times 2a = 3b \times 4c \\ \\ x = \frac{3b \times 4c}{2a} \\ \\ x = \frac{6bc}{a}$
Therefore Fourth proportional is
$\frac{6bc}{a}$
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