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Finding the Fourth Proportional to 20,812.30, 31,229.79 and 7,662.76

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Solution

The fourth proportional to 20,812.30, 31,229.79 and 7,662.76 is: 11,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.30 : 31,229.79 = 7,662.76 : x
  2. Step 2: Convert to fraction form
    20,812.30/31,229.79 = 7,662.76/x
  3. Step 3: Cross multiply
    20,812.30x = 31,229.79 × 7,662.76
  4. Step 4: Simplify right side
    20,812.30x = 239,306,385.62
  5. Step 5: Solve for x
    x = 239,306,385.62/20,812.30
  6. Step 6: Final answer
    x = 11,498.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.