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Finding the Fourth Proportional to 27,132.16, 40,699.78 and 8,414.86

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Solution

The fourth proportional to 27,132.16, 40,699.78 and 8,414.86 is: 12,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.16 : 40,699.78 = 8,414.86 : x
  2. Step 2: Convert to fraction form
    27,132.16/40,699.78 = 8,414.86/x
  3. Step 3: Cross multiply
    27,132.16x = 40,699.78 × 8,414.86
  4. Step 4: Simplify right side
    27,132.16x = 342,482,950.73
  5. Step 5: Solve for x
    x = 342,482,950.73/27,132.16
  6. Step 6: Final answer
    x = 12,622.77

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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.