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(iv) In a proportion a: b:: c: d b and c are called(a) means(b) extremes(c) fourth proportional(d) None of these
(iv) In a proportion  a: b:: c: d b  and  c  are called(a) means(b) extremes(c) fourth proportional(d) None of these

(iv) In a proportion a: b:: c: d b and c are called(a) means(b) extremes(c) fourth proportional(d) None of these

Example 1: If y varies jointly as x^{2} and z and y=6 when x=4 z=9 . Write y as a function of x and z and determine the value of y when x=-8 and z=12 .
Example 1: If  y  varies jointly as  x^{2}  and  z  and  y=6  when  x=4 z=9 . Write  y  as a function of  x  and  z  and determine the value of  y  when  x=-8  and  z=12 .

Example 1: If y varies jointly as x^{2} and z and y=6 when x=4 z=9 . Write y as a function of x and z and determine the value of y when x=-8 and z=12 .

10. Complete the following:(iii) If \frac{9 p q}{2 l m}=\frac{18 p}{5 m} then 5 q=
10. Complete the following:(iii) If  \frac{9 p q}{2 l m}=\frac{18 p}{5 m}  then  5 q=

10. Complete the following:(iii) If \frac{9 p q}{2 l m}=\frac{18 p}{5 m} then 5 q=

3. If y varies directly as x^{3} and inversely as z^{2} and t and y \doteq 16 when x=4 z=2 t=3 . Find the value of y when x=2 z=3 and t=4 .
3. If  y  varies directly as  x^{3}  and inversely as  z^{2}  and  t  and  y \doteq 16  when  x=4 z=2   t=3 . Find the value of  y  when  x=2 z=3  and  t=4 .

3. If y varies directly as x^{3} and inversely as z^{2} and t and y \doteq 16 when x=4 z=2 t=3 . Find the value of y when x=2 z=3 and t=4 .

4. Find the value of p if the ratios 2 p+5: 3 p+4 and 3: 4 are equal.
4. Find the value of  p  if the ratios  2 p+5: 3 p+4  and  3: 4  are equal.

4. Find the value of p if the ratios 2 p+5: 3 p+4 and 3: 4 are equal.

8. If y \propto \frac{1}{x} and y=4 when x=3 find x when y=24 .
8. If  y \propto \frac{1}{x}  and  y=4  when  x=3  find  x  when  y=24 .

8. If y \propto \frac{1}{x} and y=4 when x=3 find x when y=24 .