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Finding the Fourth Proportional to 8,640.65, 12,964.84 and 4,195.87

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Solution

The fourth proportional to 8,640.65, 12,964.84 and 4,195.87 is: 6,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.65 : 12,964.84 = 4,195.87 : x
  2. Step 2: Convert to fraction form
    8,640.65/12,964.84 = 4,195.87/x
  3. Step 3: Cross multiply
    8,640.65x = 12,964.84 × 4,195.87
  4. Step 4: Simplify right side
    8,640.65x = 54,398,740.31
  5. Step 5: Solve for x
    x = 54,398,740.31/8,640.65
  6. Step 6: Final answer
    x = 6,295.68

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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.