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Finding the Fourth Proportional to 19,913.28, 29,869.92 and 7,432.98

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Solution

The fourth proportional to 19,913.28, 29,869.92 and 7,432.98 is: 11,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913.28 : 29,869.92 = 7,432.98 : x
  2. Step 2: Convert to fraction form
    19,913.28/29,869.92 = 7,432.98/x
  3. Step 3: Cross multiply
    19,913.28x = 29,869.92 × 7,432.98
  4. Step 4: Simplify right side
    19,913.28x = 222,022,517.96
  5. Step 5: Solve for x
    x = 222,022,517.96/19,913.28
  6. Step 6: Final answer
    x = 11,149.47

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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.