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Finding the Fourth Proportional to 5,493.85, 8,241.30 and 1,986

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Solution

The fourth proportional to 5,493.85, 8,241.30 and 1,986 is: 2,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.85 : 8,241.30 = 1,986 : x
  2. Step 2: Convert to fraction form
    5,493.85/8,241.30 = 1,986/x
  3. Step 3: Cross multiply
    5,493.85x = 8,241.30 × 1,986
  4. Step 4: Simplify right side
    5,493.85x = 16,367,221.80
  5. Step 5: Solve for x
    x = 16,367,221.80/5,493.85
  6. Step 6: Final answer
    x = 2,979.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.