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Finding the Fourth Proportional to 3,839.04, 5,761.12 and 2,108.88

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Solution

The fourth proportional to 3,839.04, 5,761.12 and 2,108.88 is: 3,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.04 : 5,761.12 = 2,108.88 : x
  2. Step 2: Convert to fraction form
    3,839.04/5,761.12 = 2,108.88/x
  3. Step 3: Cross multiply
    3,839.04x = 5,761.12 × 2,108.88
  4. Step 4: Simplify right side
    3,839.04x = 12,149,510.75
  5. Step 5: Solve for x
    x = 12,149,510.75/3,839.04
  6. Step 6: Final answer
    x = 3,164.73

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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.