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Finding the Fourth Proportional to 3,581.28, 5,373.46 and 1,939

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Solution

The fourth proportional to 3,581.28, 5,373.46 and 1,939 is: 2,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.28 : 5,373.46 = 1,939 : x
  2. Step 2: Convert to fraction form
    3,581.28/5,373.46 = 1,939/x
  3. Step 3: Cross multiply
    3,581.28x = 5,373.46 × 1,939
  4. Step 4: Simplify right side
    3,581.28x = 10,419,138.94
  5. Step 5: Solve for x
    x = 10,419,138.94/3,581.28
  6. Step 6: Final answer
    x = 2,909.33

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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.