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Finding the Fourth Proportional to 10,757.80, 14,843.17 and 6,279

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Solution

The fourth proportional to 10,757.80, 14,843.17 and 6,279 is: 8,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.80 : 14,843.17 = 6,279 : x
  2. Step 2: Convert to fraction form
    10,757.80/14,843.17 = 6,279/x
  3. Step 3: Cross multiply
    10,757.80x = 14,843.17 × 6,279
  4. Step 4: Simplify right side
    10,757.80x = 93,200,264.43
  5. Step 5: Solve for x
    x = 93,200,264.43/10,757.80
  6. Step 6: Final answer
    x = 8,663.51

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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.