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Finding the Fourth Proportional to 3,919.92, 5,874.21 and 1,969.44

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Solution

The fourth proportional to 3,919.92, 5,874.21 and 1,969.44 is: 2,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.92 : 5,874.21 = 1,969.44 : x
  2. Step 2: Convert to fraction form
    3,919.92/5,874.21 = 1,969.44/x
  3. Step 3: Cross multiply
    3,919.92x = 5,874.21 × 1,969.44
  4. Step 4: Simplify right side
    3,919.92x = 11,568,904.14
  5. Step 5: Solve for x
    x = 11,568,904.14/3,919.92
  6. Step 6: Final answer
    x = 2,951.31

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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.