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Finding the Fourth Proportional to 3,857.82, 5,786.73 and 936.12

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Solution

The fourth proportional to 3,857.82, 5,786.73 and 936.12 is: 1,404.18

Step by Step Solution

Step 1: Write the proportion equation
3,857.82 : 5,786.73 = 936.12 : x
Step 2: Convert to fraction form
3,857.82/5,786.73 = 936.12/x
Step 3: Cross multiply
3,857.82x = 5,786.73 × 936.12
Step 4: Simplify right side
3,857.82x = 5,417,073.69
Step 5: Solve for x
x = 5,417,073.69/3,857.82
Step 6: Final answer
x = 1,404.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.