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Finding the Fourth Proportional to 2,471.20, 3,706.48 and 932

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Solution

The fourth proportional to 2,471.20, 3,706.48 and 932 is: 1,397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.20 : 3,706.48 = 932 : x
  2. Step 2: Convert to fraction form
    2,471.20/3,706.48 = 932/x
  3. Step 3: Cross multiply
    2,471.20x = 3,706.48 × 932
  4. Step 4: Simplify right side
    2,471.20x = 3,454,439.36
  5. Step 5: Solve for x
    x = 3,454,439.36/2,471.20
  6. Step 6: Final answer
    x = 1,397.88

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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.