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Finding the Fourth Proportional to 6,402.32, 9,604.64 and 3,115.41

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Solution

The fourth proportional to 6,402.32, 9,604.64 and 3,115.41 is: 4,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.32 : 9,604.64 = 3,115.41 : x
  2. Step 2: Convert to fraction form
    6,402.32/9,604.64 = 3,115.41/x
  3. Step 3: Cross multiply
    6,402.32x = 9,604.64 × 3,115.41
  4. Step 4: Simplify right side
    6,402.32x = 29,922,375.93
  5. Step 5: Solve for x
    x = 29,922,375.93/6,402.32
  6. Step 6: Final answer
    x = 4,673.68

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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.