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Finding the Fourth Proportional to 20,732, 31,101.12 and 6,687.32

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Solution

The fourth proportional to 20,732, 31,101.12 and 6,687.32 is: 10,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732 : 31,101.12 = 6,687.32 : x
  2. Step 2: Convert to fraction form
    20,732/31,101.12 = 6,687.32/x
  3. Step 3: Cross multiply
    20,732x = 31,101.12 × 6,687.32
  4. Step 4: Simplify right side
    20,732x = 207,983,141.80
  5. Step 5: Solve for x
    x = 207,983,141.80/20,732
  6. Step 6: Final answer
    x = 10,031.99

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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.