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Finding the Fourth Proportional to 27,876, 41,791.89 and 10,103.88

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Solution

The fourth proportional to 27,876, 41,791.89 and 10,103.88 is: 15,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876 : 41,791.89 = 10,103.88 : x
  2. Step 2: Convert to fraction form
    27,876/41,791.89 = 10,103.88/x
  3. Step 3: Cross multiply
    27,876x = 41,791.89 × 10,103.88
  4. Step 4: Simplify right side
    27,876x = 422,260,241.53
  5. Step 5: Solve for x
    x = 422,260,241.53/27,876
  6. Step 6: Final answer
    x = 15,147.81

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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.