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Finding the Fourth Proportional to 12,246.24, 18,354.96 and 6,691.68

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Solution

The fourth proportional to 12,246.24, 18,354.96 and 6,691.68 is: 10,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246.24 : 18,354.96 = 6,691.68 : x
  2. Step 2: Convert to fraction form
    12,246.24/18,354.96 = 6,691.68/x
  3. Step 3: Cross multiply
    12,246.24x = 18,354.96 × 6,691.68
  4. Step 4: Simplify right side
    12,246.24x = 122,825,518.73
  5. Step 5: Solve for x
    x = 122,825,518.73/12,246.24
  6. Step 6: Final answer
    x = 10,029.65

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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.