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Finding the Fourth Proportional to 3,893.64, 5,372.48 and 2,321.88

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Solution

The fourth proportional to 3,893.64, 5,372.48 and 2,321.88 is: 3,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.64 : 5,372.48 = 2,321.88 : x
  2. Step 2: Convert to fraction form
    3,893.64/5,372.48 = 2,321.88/x
  3. Step 3: Cross multiply
    3,893.64x = 5,372.48 × 2,321.88
  4. Step 4: Simplify right side
    3,893.64x = 12,474,253.86
  5. Step 5: Solve for x
    x = 12,474,253.86/3,893.64
  6. Step 6: Final answer
    x = 3,203.75

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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.