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Finding the Fourth Proportional to 19,957.28, 29,935.84 and 15,578.40

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Solution

The fourth proportional to 19,957.28, 29,935.84 and 15,578.40 is: 23,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.28 : 29,935.84 = 15,578.40 : x
  2. Step 2: Convert to fraction form
    19,957.28/29,935.84 = 15,578.40/x
  3. Step 3: Cross multiply
    19,957.28x = 29,935.84 × 15,578.40
  4. Step 4: Simplify right side
    19,957.28x = 466,352,489.86
  5. Step 5: Solve for x
    x = 466,352,489.86/19,957.28
  6. Step 6: Final answer
    x = 23,367.54

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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.