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Finding the Fourth Proportional to 3,944.92, 5,916.18 and 1,311.96

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Solution

The fourth proportional to 3,944.92, 5,916.18 and 1,311.96 is: 1,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.92 : 5,916.18 = 1,311.96 : x
  2. Step 2: Convert to fraction form
    3,944.92/5,916.18 = 1,311.96/x
  3. Step 3: Cross multiply
    3,944.92x = 5,916.18 × 1,311.96
  4. Step 4: Simplify right side
    3,944.92x = 7,761,791.51
  5. Step 5: Solve for x
    x = 7,761,791.51/3,944.92
  6. Step 6: Final answer
    x = 1,967.54

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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.