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Finding the Fourth Proportional to 10,851.52, 14,978.16 and 6,375.40

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Solution

The fourth proportional to 10,851.52, 14,978.16 and 6,375.40 is: 8,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.52 : 14,978.16 = 6,375.40 : x
  2. Step 2: Convert to fraction form
    10,851.52/14,978.16 = 6,375.40/x
  3. Step 3: Cross multiply
    10,851.52x = 14,978.16 × 6,375.40
  4. Step 4: Simplify right side
    10,851.52x = 95,491,761.26
  5. Step 5: Solve for x
    x = 95,491,761.26/10,851.52
  6. Step 6: Final answer
    x = 8,799.85

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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.