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Finding the Fourth Proportional to 3,984.67, 5,499.17 and 2,216.44

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Solution

The fourth proportional to 3,984.67, 5,499.17 and 2,216.44 is: 3,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.67 : 5,499.17 = 2,216.44 : x
  2. Step 2: Convert to fraction form
    3,984.67/5,499.17 = 2,216.44/x
  3. Step 3: Cross multiply
    3,984.67x = 5,499.17 × 2,216.44
  4. Step 4: Simplify right side
    3,984.67x = 12,188,580.35
  5. Step 5: Solve for x
    x = 12,188,580.35/3,984.67
  6. Step 6: Final answer
    x = 3,058.87

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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.