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Finding the Fourth Proportional to 10,442.31, 15,661.87 and 3,866.88

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Solution

The fourth proportional to 10,442.31, 15,661.87 and 3,866.88 is: 5,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.31 : 15,661.87 = 3,866.88 : x
  2. Step 2: Convert to fraction form
    10,442.31/15,661.87 = 3,866.88/x
  3. Step 3: Cross multiply
    10,442.31x = 15,661.87 × 3,866.88
  4. Step 4: Simplify right side
    10,442.31x = 60,562,562.20
  5. Step 5: Solve for x
    x = 60,562,562.20/10,442.31
  6. Step 6: Final answer
    x = 5,799.73

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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.