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Finding the Fourth Proportional to 20,978.86, 31,468 and 8,498.78

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Solution

The fourth proportional to 20,978.86, 31,468 and 8,498.78 is: 12,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.86 : 31,468 = 8,498.78 : x
  2. Step 2: Convert to fraction form
    20,978.86/31,468 = 8,498.78/x
  3. Step 3: Cross multiply
    20,978.86x = 31,468 × 8,498.78
  4. Step 4: Simplify right side
    20,978.86x = 267,439,609.04
  5. Step 5: Solve for x
    x = 267,439,609.04/20,978.86
  6. Step 6: Final answer
    x = 12,748.05

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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.