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Finding the Fourth Proportional to 2,757.28, 4,134.64 and 932

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Solution

The fourth proportional to 2,757.28, 4,134.64 and 932 is: 1,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.28 : 4,134.64 = 932 : x
  2. Step 2: Convert to fraction form
    2,757.28/4,134.64 = 932/x
  3. Step 3: Cross multiply
    2,757.28x = 4,134.64 × 932
  4. Step 4: Simplify right side
    2,757.28x = 3,853,484.48
  5. Step 5: Solve for x
    x = 3,853,484.48/2,757.28
  6. Step 6: Final answer
    x = 1,397.57

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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.