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Finding the Fourth Proportional to 20,992, 31,456.26 and 12,662.76

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Solution

The fourth proportional to 20,992, 31,456.26 and 12,662.76 is: 18,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992 : 31,456.26 = 12,662.76 : x
  2. Step 2: Convert to fraction form
    20,992/31,456.26 = 12,662.76/x
  3. Step 3: Cross multiply
    20,992x = 31,456.26 × 12,662.76
  4. Step 4: Simplify right side
    20,992x = 398,323,070.88
  5. Step 5: Solve for x
    x = 398,323,070.88/20,992
  6. Step 6: Final answer
    x = 18,974.99

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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.