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Finding the Fourth Proportional to 3,971.62, 5,480.84 and 2,399.42

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Solution

The fourth proportional to 3,971.62, 5,480.84 and 2,399.42 is: 3,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.62 : 5,480.84 = 2,399.42 : x
  2. Step 2: Convert to fraction form
    3,971.62/5,480.84 = 2,399.42/x
  3. Step 3: Cross multiply
    3,971.62x = 5,480.84 × 2,399.42
  4. Step 4: Simplify right side
    3,971.62x = 13,150,837.11
  5. Step 5: Solve for x
    x = 13,150,837.11/3,971.62
  6. Step 6: Final answer
    x = 3,311.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.