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Finding the Fourth Proportional to 12,455.46, 18,691.38 and 5,882.31

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Solution

The fourth proportional to 12,455.46, 18,691.38 and 5,882.31 is: 8,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.46 : 18,691.38 = 5,882.31 : x
  2. Step 2: Convert to fraction form
    12,455.46/18,691.38 = 5,882.31/x
  3. Step 3: Cross multiply
    12,455.46x = 18,691.38 × 5,882.31
  4. Step 4: Simplify right side
    12,455.46x = 109,948,491.49
  5. Step 5: Solve for x
    x = 109,948,491.49/12,455.46
  6. Step 6: Final answer
    x = 8,827.33

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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.