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Finding the Fourth Proportional to 11,411.83, 15,747.78 and 6,375.97

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Solution

The fourth proportional to 11,411.83, 15,747.78 and 6,375.97 is: 8,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.83 : 15,747.78 = 6,375.97 : x
  2. Step 2: Convert to fraction form
    11,411.83/15,747.78 = 6,375.97/x
  3. Step 3: Cross multiply
    11,411.83x = 15,747.78 × 6,375.97
  4. Step 4: Simplify right side
    11,411.83x = 100,407,372.85
  5. Step 5: Solve for x
    x = 100,407,372.85/11,411.83
  6. Step 6: Final answer
    x = 8,798.53

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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.