To solve the proportion \( y : 51.1 = 11.2 : 34.4 \), we can use cross multiplication. This means we can set up the equation as follows:
\[ y \cdot 34.4 = 51.1 \cdot 11.2 \]
Now we will perform the calculations:
Calculate \( 51.1 \cdot 11.2 \): \[ 51.1 \cdot 11.2 = 573.32 \]
Now, substitute this value into the equation: \[ y \cdot 34.4 = 573.32 \]
To find \( y \), divide both sides by 34.4: \[ y = \frac{573.32}{34.4} \]
Now, calculate \( y \): \[ y \approx 16.67 \]
Thus, the solution is: \[ y \approx 16.67 \]