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Finding the Fourth Proportional to 6,489,318.16, 9,728,728.17 and 3,964,120.48

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Solution

The fourth proportional to 6,489,318.16, 9,728,728.17 and 3,964,120.48 is: 5,942,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489,318.16 : 9,728,728.17 = 3,964,120.48 : x
  2. Step 2: Convert to fraction form
    6,489,318.16/9,728,728.17 = 3,964,120.48/x
  3. Step 3: Cross multiply
    6,489,318.16x = 9,728,728.17 × 3,964,120.48
  4. Step 4: Simplify right side
    6,489,318.16x = 38,565,850,583,049.92
  5. Step 5: Solve for x
    x = 38,565,850,583,049.92/6,489,318.16
  6. Step 6: Final answer
    x = 5,942,974.23

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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.