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Finding the Fourth Proportional to 5,982.80, 8,974.20 and 2,086.30

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Solution

The fourth proportional to 5,982.80, 8,974.20 and 2,086.30 is: 3,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.80 : 8,974.20 = 2,086.30 : x
  2. Step 2: Convert to fraction form
    5,982.80/8,974.20 = 2,086.30/x
  3. Step 3: Cross multiply
    5,982.80x = 8,974.20 × 2,086.30
  4. Step 4: Simplify right side
    5,982.80x = 18,722,873.46
  5. Step 5: Solve for x
    x = 18,722,873.46/5,982.80
  6. Step 6: Final answer
    x = 3,129.45

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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.