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Finding the Fourth Proportional to 3,947.92, 5,919.82 and 1,174.22

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Solution

The fourth proportional to 3,947.92, 5,919.82 and 1,174.22 is: 1,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.92 : 5,919.82 = 1,174.22 : x
  2. Step 2: Convert to fraction form
    3,947.92/5,919.82 = 1,174.22/x
  3. Step 3: Cross multiply
    3,947.92x = 5,919.82 × 1,174.22
  4. Step 4: Simplify right side
    3,947.92x = 6,951,171.04
  5. Step 5: Solve for x
    x = 6,951,171.04/3,947.92
  6. Step 6: Final answer
    x = 1,760.72

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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.