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Finding the Fourth Proportional to 3,872.40, 5,808.63 and 1,099.16

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Solution

The fourth proportional to 3,872.40, 5,808.63 and 1,099.16 is: 1,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.40 : 5,808.63 = 1,099.16 : x
  2. Step 2: Convert to fraction form
    3,872.40/5,808.63 = 1,099.16/x
  3. Step 3: Cross multiply
    3,872.40x = 5,808.63 × 1,099.16
  4. Step 4: Simplify right side
    3,872.40x = 6,384,613.75
  5. Step 5: Solve for x
    x = 6,384,613.75/3,872.40
  6. Step 6: Final answer
    x = 1,648.75

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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.