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Finding the Fourth Proportional to 3,982.60, 5,963.10 and 3,118.60

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Solution

The fourth proportional to 3,982.60, 5,963.10 and 3,118.60 is: 4,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.60 : 5,963.10 = 3,118.60 : x
  2. Step 2: Convert to fraction form
    3,982.60/5,963.10 = 3,118.60/x
  3. Step 3: Cross multiply
    3,982.60x = 5,963.10 × 3,118.60
  4. Step 4: Simplify right side
    3,982.60x = 18,596,523.66
  5. Step 5: Solve for x
    x = 18,596,523.66/3,982.60
  6. Step 6: Final answer
    x = 4,669.44

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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.