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Finding the Fourth Proportional to 3,893.88, 5,372.55 and 2,320.86

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Solution

The fourth proportional to 3,893.88, 5,372.55 and 2,320.86 is: 3,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.88 : 5,372.55 = 2,320.86 : x
  2. Step 2: Convert to fraction form
    3,893.88/5,372.55 = 2,320.86/x
  3. Step 3: Cross multiply
    3,893.88x = 5,372.55 × 2,320.86
  4. Step 4: Simplify right side
    3,893.88x = 12,468,936.39
  5. Step 5: Solve for x
    x = 12,468,936.39/3,893.88
  6. Step 6: Final answer
    x = 3,202.19

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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.