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Finding the Fourth Proportional to 29,689.28, 40,921.44 and 23,701.76

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Solution

The fourth proportional to 29,689.28, 40,921.44 and 23,701.76 is: 32,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.28 : 40,921.44 = 23,701.76 : x
  2. Step 2: Convert to fraction form
    29,689.28/40,921.44 = 23,701.76/x
  3. Step 3: Cross multiply
    29,689.28x = 40,921.44 × 23,701.76
  4. Step 4: Simplify right side
    29,689.28x = 969,910,149.73
  5. Step 5: Solve for x
    x = 969,910,149.73/29,689.28
  6. Step 6: Final answer
    x = 32,668.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.