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Finding the Fourth Proportional to 3,872.39, 5,807.42 and 1,099.29

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Solution

The fourth proportional to 3,872.39, 5,807.42 and 1,099.29 is: 1,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.39 : 5,807.42 = 1,099.29 : x
  2. Step 2: Convert to fraction form
    3,872.39/5,807.42 = 1,099.29/x
  3. Step 3: Cross multiply
    3,872.39x = 5,807.42 × 1,099.29
  4. Step 4: Simplify right side
    3,872.39x = 6,384,033.24
  5. Step 5: Solve for x
    x = 6,384,033.24/3,872.39
  6. Step 6: Final answer
    x = 1,648.60

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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.