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Finding the Fourth Proportional to 20,660.80, 30,998.40 and 8,982.40

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Solution

The fourth proportional to 20,660.80, 30,998.40 and 8,982.40 is: 13,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,660.80 : 30,998.40 = 8,982.40 : x
  2. Step 2: Convert to fraction form
    20,660.80/30,998.40 = 8,982.40/x
  3. Step 3: Cross multiply
    20,660.80x = 30,998.40 × 8,982.40
  4. Step 4: Simplify right side
    20,660.80x = 278,440,028.16
  5. Step 5: Solve for x
    x = 278,440,028.16/20,660.80
  6. Step 6: Final answer
    x = 13,476.73

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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.