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Finding the Fourth Proportional to 3,872.96, 5,807.20 and 2,642.24

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Solution

The fourth proportional to 3,872.96, 5,807.20 and 2,642.24 is: 3,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.96 : 5,807.20 = 2,642.24 : x
  2. Step 2: Convert to fraction form
    3,872.96/5,807.20 = 2,642.24/x
  3. Step 3: Cross multiply
    3,872.96x = 5,807.20 × 2,642.24
  4. Step 4: Simplify right side
    3,872.96x = 15,344,016.13
  5. Step 5: Solve for x
    x = 15,344,016.13/3,872.96
  6. Step 6: Final answer
    x = 3,961.83

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1.5x scale

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.