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Finding the Fourth Proportional to 11,517.78, 15,893.82 and 6,481.38

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Solution

The fourth proportional to 11,517.78, 15,893.82 and 6,481.38 is: 8,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.78 : 15,893.82 = 6,481.38 : x
  2. Step 2: Convert to fraction form
    11,517.78/15,893.82 = 6,481.38/x
  3. Step 3: Cross multiply
    11,517.78x = 15,893.82 × 6,481.38
  4. Step 4: Simplify right side
    11,517.78x = 103,013,887.07
  5. Step 5: Solve for x
    x = 103,013,887.07/11,517.78
  6. Step 6: Final answer
    x = 8,943.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.