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Finding the Fourth Proportional to 3,942.32, 5,902.48 and 3,197.48

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Solution

The fourth proportional to 3,942.32, 5,902.48 and 3,197.48 is: 4,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.32 : 5,902.48 = 3,197.48 : x
  2. Step 2: Convert to fraction form
    3,942.32/5,902.48 = 3,197.48/x
  3. Step 3: Cross multiply
    3,942.32x = 5,902.48 × 3,197.48
  4. Step 4: Simplify right side
    3,942.32x = 18,873,061.75
  5. Step 5: Solve for x
    x = 18,873,061.75/3,942.32
  6. Step 6: Final answer
    x = 4,787.30

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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.