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Finding the Fourth Proportional to 27,134.97, 40,708.30 and 8,414.63

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Solution

The fourth proportional to 27,134.97, 40,708.30 and 8,414.63 is: 12,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134.97 : 40,708.30 = 8,414.63 : x
  2. Step 2: Convert to fraction form
    27,134.97/40,708.30 = 8,414.63/x
  3. Step 3: Cross multiply
    27,134.97x = 40,708.30 × 8,414.63
  4. Step 4: Simplify right side
    27,134.97x = 342,545,282.43
  5. Step 5: Solve for x
    x = 342,545,282.43/27,134.97
  6. Step 6: Final answer
    x = 12,623.76

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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.