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Finding the Fourth Proportional to 20,809.31, 31,210.88 and 7,658.61

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Solution

The fourth proportional to 20,809.31, 31,210.88 and 7,658.61 is: 11,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.31 : 31,210.88 = 7,658.61 : x
  2. Step 2: Convert to fraction form
    20,809.31/31,210.88 = 7,658.61/x
  3. Step 3: Cross multiply
    20,809.31x = 31,210.88 × 7,658.61
  4. Step 4: Simplify right side
    20,809.31x = 239,031,919.38
  5. Step 5: Solve for x
    x = 239,031,919.38/20,809.31
  6. Step 6: Final answer
    x = 11,486.78

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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.