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Finding the Fourth Proportional to 27,891.79, 41,839.03 and 9,171.41

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Solution

The fourth proportional to 27,891.79, 41,839.03 and 9,171.41 is: 13,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891.79 : 41,839.03 = 9,171.41 : x
  2. Step 2: Convert to fraction form
    27,891.79/41,839.03 = 9,171.41/x
  3. Step 3: Cross multiply
    27,891.79x = 41,839.03 × 9,171.41
  4. Step 4: Simplify right side
    27,891.79x = 383,723,066.32
  5. Step 5: Solve for x
    x = 383,723,066.32/27,891.79
  6. Step 6: Final answer
    x = 13,757.56

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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.