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Finding the Fourth Proportional to 3,922.52, 5,409.90 and 3,449.42

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Solution

The fourth proportional to 3,922.52, 5,409.90 and 3,449.42 is: 4,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.52 : 5,409.90 = 3,449.42 : x
  2. Step 2: Convert to fraction form
    3,922.52/5,409.90 = 3,449.42/x
  3. Step 3: Cross multiply
    3,922.52x = 5,409.90 × 3,449.42
  4. Step 4: Simplify right side
    3,922.52x = 18,660,990.21
  5. Step 5: Solve for x
    x = 18,660,990.21/3,922.52
  6. Step 6: Final answer
    x = 4,757.40

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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.