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Finding the Fourth Proportional to 27,042.81, 40,568.05 and 8,324.40

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Solution

The fourth proportional to 27,042.81, 40,568.05 and 8,324.40 is: 12,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042.81 : 40,568.05 = 8,324.40 : x
  2. Step 2: Convert to fraction form
    27,042.81/40,568.05 = 8,324.40/x
  3. Step 3: Cross multiply
    27,042.81x = 40,568.05 × 8,324.40
  4. Step 4: Simplify right side
    27,042.81x = 337,704,764.09
  5. Step 5: Solve for x
    x = 337,704,764.09/27,042.81
  6. Step 6: Final answer
    x = 12,487.79

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Why These Related Problems?

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