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Finding the Fourth Proportional to 25,381.92, 38,072.88 and 7,851.90

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Solution

The fourth proportional to 25,381.92, 38,072.88 and 7,851.90 is: 11,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,381.92 : 38,072.88 = 7,851.90 : x
  2. Step 2: Convert to fraction form
    25,381.92/38,072.88 = 7,851.90/x
  3. Step 3: Cross multiply
    25,381.92x = 38,072.88 × 7,851.90
  4. Step 4: Simplify right side
    25,381.92x = 298,944,446.47
  5. Step 5: Solve for x
    x = 298,944,446.47/25,381.92
  6. Step 6: Final answer
    x = 11,777.85

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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.