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Finding the Fourth Proportional to 3,985.62, 5,481.84 and 3,197.94

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Solution

The fourth proportional to 3,985.62, 5,481.84 and 3,197.94 is: 4,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.62 : 5,481.84 = 3,197.94 : x
  2. Step 2: Convert to fraction form
    3,985.62/5,481.84 = 3,197.94/x
  3. Step 3: Cross multiply
    3,985.62x = 5,481.84 × 3,197.94
  4. Step 4: Simplify right side
    3,985.62x = 17,530,595.41
  5. Step 5: Solve for x
    x = 17,530,595.41/3,985.62
  6. Step 6: Final answer
    x = 4,398.46

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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.