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Finding the Fourth Proportional to 3,893.05, 5,834.13 and 2,138.41

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Solution

The fourth proportional to 3,893.05, 5,834.13 and 2,138.41 is: 3,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.05 : 5,834.13 = 2,138.41 : x
  2. Step 2: Convert to fraction form
    3,893.05/5,834.13 = 2,138.41/x
  3. Step 3: Cross multiply
    3,893.05x = 5,834.13 × 2,138.41
  4. Step 4: Simplify right side
    3,893.05x = 12,475,761.93
  5. Step 5: Solve for x
    x = 12,475,761.93/3,893.05
  6. Step 6: Final answer
    x = 3,204.62

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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.