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Finding the Fourth Proportional to 3,842.82, 5,766.12 and 1,893.96

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Solution

The fourth proportional to 3,842.82, 5,766.12 and 1,893.96 is: 2,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.82 : 5,766.12 = 1,893.96 : x
  2. Step 2: Convert to fraction form
    3,842.82/5,766.12 = 1,893.96/x
  3. Step 3: Cross multiply
    3,842.82x = 5,766.12 × 1,893.96
  4. Step 4: Simplify right side
    3,842.82x = 10,920,800.64
  5. Step 5: Solve for x
    x = 10,920,800.64/3,842.82
  6. Step 6: Final answer
    x = 2,841.87

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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.