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Finding the Fourth Proportional to 3,872.64, 5,800.32 and 2,723.52

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Solution

The fourth proportional to 3,872.64, 5,800.32 and 2,723.52 is: 4,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.64 : 5,800.32 = 2,723.52 : x
  2. Step 2: Convert to fraction form
    3,872.64/5,800.32 = 2,723.52/x
  3. Step 3: Cross multiply
    3,872.64x = 5,800.32 × 2,723.52
  4. Step 4: Simplify right side
    3,872.64x = 15,797,287.53
  5. Step 5: Solve for x
    x = 15,797,287.53/3,872.64
  6. Step 6: Final answer
    x = 4,079.20

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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.