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Finding the Fourth Proportional to 27,227.52, 40,839.80 and 8,505.40

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Solution

The fourth proportional to 27,227.52, 40,839.80 and 8,505.40 is: 12,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,227.52 : 40,839.80 = 8,505.40 : x
  2. Step 2: Convert to fraction form
    27,227.52/40,839.80 = 8,505.40/x
  3. Step 3: Cross multiply
    27,227.52x = 40,839.80 × 8,505.40
  4. Step 4: Simplify right side
    27,227.52x = 347,358,834.92
  5. Step 5: Solve for x
    x = 347,358,834.92/27,227.52
  6. Step 6: Final answer
    x = 12,757.64

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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.