The value of x:z = 1:4.
To find the ratio of x to z, we need to have a common term between x, y, and z. Since we have y in both ratios, we can use it as the common term.
From the given ratios:
x:y = 3:4
y:z = 1:3
We can see that the y in the first ratio and the y in the second ratio are the same.
To find the ratio of x to z, we can "connect" the two ratios by canceling out the y:
x:y = 3:4
y:z = 1:3
x:y × y:z = 3:4 × 1:3
x:z = 3:12
Simplifying the above ratio by dividing both terms by 3, we get:
x:z = 1:4