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Finding the Fourth Proportional to 3,893.76, 5,373 and 2,321.82

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Solution

The fourth proportional to 3,893.76, 5,373 and 2,321.82 is: 3,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.76 : 5,373 = 2,321.82 : x
  2. Step 2: Convert to fraction form
    3,893.76/5,373 = 2,321.82/x
  3. Step 3: Cross multiply
    3,893.76x = 5,373 × 2,321.82
  4. Step 4: Simplify right side
    3,893.76x = 12,475,138.86
  5. Step 5: Solve for x
    x = 12,475,138.86/3,893.76
  6. Step 6: Final answer
    x = 3,203.88

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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.