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Finding the Fourth Proportional to 3,960.64, 5,939.12 and 2,229.26

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Solution

The fourth proportional to 3,960.64, 5,939.12 and 2,229.26 is: 3,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.64 : 5,939.12 = 2,229.26 : x
  2. Step 2: Convert to fraction form
    3,960.64/5,939.12 = 2,229.26/x
  3. Step 3: Cross multiply
    3,960.64x = 5,939.12 × 2,229.26
  4. Step 4: Simplify right side
    3,960.64x = 13,239,842.65
  5. Step 5: Solve for x
    x = 13,239,842.65/3,960.64
  6. Step 6: Final answer
    x = 3,342.86

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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.