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Finding the Fourth Proportional to 21,121.92, 31,691.34 and 7,977.96

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Solution

The fourth proportional to 21,121.92, 31,691.34 and 7,977.96 is: 11,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,121.92 : 31,691.34 = 7,977.96 : x
  2. Step 2: Convert to fraction form
    21,121.92/31,691.34 = 7,977.96/x
  3. Step 3: Cross multiply
    21,121.92x = 31,691.34 × 7,977.96
  4. Step 4: Simplify right side
    21,121.92x = 252,832,242.87
  5. Step 5: Solve for x
    x = 252,832,242.87/21,121.92
  6. Step 6: Final answer
    x = 11,970.14

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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.