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Finding the Fourth Proportional to 25,610.81, 38,432.55 and 12,456

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Solution

The fourth proportional to 25,610.81, 38,432.55 and 12,456 is: 18,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,610.81 : 38,432.55 = 12,456 : x
  2. Step 2: Convert to fraction form
    25,610.81/38,432.55 = 12,456/x
  3. Step 3: Cross multiply
    25,610.81x = 38,432.55 × 12,456
  4. Step 4: Simplify right side
    25,610.81x = 478,715,842.80
  5. Step 5: Solve for x
    x = 478,715,842.80/25,610.81
  6. Step 6: Final answer
    x = 18,691.95

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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.