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Finding the Fourth Proportional to 6,644, 9,960.12 and 2,481.20

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Solution

The fourth proportional to 6,644, 9,960.12 and 2,481.20 is: 3,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644 : 9,960.12 = 2,481.20 : x
  2. Step 2: Convert to fraction form
    6,644/9,960.12 = 2,481.20/x
  3. Step 3: Cross multiply
    6,644x = 9,960.12 × 2,481.20
  4. Step 4: Simplify right side
    6,644x = 24,713,049.74
  5. Step 5: Solve for x
    x = 24,713,049.74/6,644
  6. Step 6: Final answer
    x = 3,719.60

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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.