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Finding the Fourth Proportional to 3,489.20, 5,233.72 and 892.24

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Solution

The fourth proportional to 3,489.20, 5,233.72 and 892.24 is: 1,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.20 : 5,233.72 = 892.24 : x
  2. Step 2: Convert to fraction form
    3,489.20/5,233.72 = 892.24/x
  3. Step 3: Cross multiply
    3,489.20x = 5,233.72 × 892.24
  4. Step 4: Simplify right side
    3,489.20x = 4,669,734.33
  5. Step 5: Solve for x
    x = 4,669,734.33/3,489.20
  6. Step 6: Final answer
    x = 1,338.34

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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.