Home / 20,982.66-31,478.88-6,942.12

Finding the Fourth Proportional to 20,982.66, 31,478.88 and 6,942.12

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Solution

The fourth proportional to 20,982.66, 31,478.88 and 6,942.12 is: 10,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982.66 : 31,478.88 = 6,942.12 : x
  2. Step 2: Convert to fraction form
    20,982.66/31,478.88 = 6,942.12/x
  3. Step 3: Cross multiply
    20,982.66x = 31,478.88 × 6,942.12
  4. Step 4: Simplify right side
    20,982.66x = 218,530,162.43
  5. Step 5: Solve for x
    x = 218,530,162.43/20,982.66
  6. Step 6: Final answer
    x = 10,414.80

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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.