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Finding the Fourth Proportional to 25,809.86, 38,711.15 and 8,277.41

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Solution

The fourth proportional to 25,809.86, 38,711.15 and 8,277.41 is: 12,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.86 : 38,711.15 = 8,277.41 : x
  2. Step 2: Convert to fraction form
    25,809.86/38,711.15 = 8,277.41/x
  3. Step 3: Cross multiply
    25,809.86x = 38,711.15 × 8,277.41
  4. Step 4: Simplify right side
    25,809.86x = 320,428,060.12
  5. Step 5: Solve for x
    x = 320,428,060.12/25,809.86
  6. Step 6: Final answer
    x = 12,414.95

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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.