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Finding the Fourth Proportional to 3,893.22, 5,834.30 and 2,855.61

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Solution

The fourth proportional to 3,893.22, 5,834.30 and 2,855.61 is: 4,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.22 : 5,834.30 = 2,855.61 : x
  2. Step 2: Convert to fraction form
    3,893.22/5,834.30 = 2,855.61/x
  3. Step 3: Cross multiply
    3,893.22x = 5,834.30 × 2,855.61
  4. Step 4: Simplify right side
    3,893.22x = 16,660,471.14
  5. Step 5: Solve for x
    x = 16,660,471.14/3,893.22
  6. Step 6: Final answer
    x = 4,279.36

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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.