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Finding the Fourth Proportional to 6,481.92, 9,723.12 and 2,102.16

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Solution

The fourth proportional to 6,481.92, 9,723.12 and 2,102.16 is: 3,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.92 : 9,723.12 = 2,102.16 : x
  2. Step 2: Convert to fraction form
    6,481.92/9,723.12 = 2,102.16/x
  3. Step 3: Cross multiply
    6,481.92x = 9,723.12 × 2,102.16
  4. Step 4: Simplify right side
    6,481.92x = 20,439,553.94
  5. Step 5: Solve for x
    x = 20,439,553.94/6,481.92
  6. Step 6: Final answer
    x = 3,153.32

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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.