Advertisements
Advertisements
Question
Find the value of the unknown in the following proportion :
`1/2 : "m" :: 14/9 : 4/3`
Advertisements
Solution
`1/2 : "m" :: 14/9 : 4/3`
`1/2 : "m" :: 14/9 : 4/3`
⇒ `"m" xx 14/9 = 1/2 xx 4/3`
⇒ `"m" = 1/2 xx 4/3 xx 9/14 = 3/7`
m = `3/7`
APPEARS IN
RELATED QUESTIONS
If `(4m + 3n)/(4m - 3n) = 7/4`, use properties of proportion to find m : n
If x, y, z are in continued proportion prove that `(x + y)^2/(y + z)^2 = x/z`
If ax = by = cz, prove that
`x^2/(yz) + y^2/(zx) + z^2/(xy) = (bc)/a^2 + (ca)/b^2 + (ab)/c^2`.
Find the mean proportion of: (a – b) and (a³ – a²b), a> b
Write (T) for true and (F) for false in case of the following:
36 : 45 : : 80 : 100
An electric pole casts a shadow of length 20 m at a time when a tree 6 m high casts a shadow of length 8 m. Find the height of the pole.
If a, b, c, d are in proportion, then
If a, b, c, d are in continued proportion, prove that: `(a^3 + b^3 + c^3)/(b^3 + c^3 + d^3) = a/d`
Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.
2 kg : 80 kg and 25 g : 625 g
The mean proportion between `3 + 2sqrt(2)` and `3 - 2sqrt(2)` is ______.
