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Finding the Fourth Proportional to 25,957.78, 38,912.04 and 8,415.28

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Solution

The fourth proportional to 25,957.78, 38,912.04 and 8,415.28 is: 12,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,957.78 : 38,912.04 = 8,415.28 : x
  2. Step 2: Convert to fraction form
    25,957.78/38,912.04 = 8,415.28/x
  3. Step 3: Cross multiply
    25,957.78x = 38,912.04 × 8,415.28
  4. Step 4: Simplify right side
    25,957.78x = 327,455,711.97
  5. Step 5: Solve for x
    x = 327,455,711.97/25,957.78
  6. Step 6: Final answer
    x = 12,614.94

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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.