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Finding the Fourth Proportional to 3,893.81, 5,374.15 and 2,322

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Solution

The fourth proportional to 3,893.81, 5,374.15 and 2,322 is: 3,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.81 : 5,374.15 = 2,322 : x
  2. Step 2: Convert to fraction form
    3,893.81/5,374.15 = 2,322/x
  3. Step 3: Cross multiply
    3,893.81x = 5,374.15 × 2,322
  4. Step 4: Simplify right side
    3,893.81x = 12,478,770.50
  5. Step 5: Solve for x
    x = 12,478,770.50/3,893.81
  6. Step 6: Final answer
    x = 3,204.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.