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Finding the Fourth Proportional to 7,270.80, 10,906.20 and 6,781.20

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Solution

The fourth proportional to 7,270.80, 10,906.20 and 6,781.20 is: 10,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.80 : 10,906.20 = 6,781.20 : x
  2. Step 2: Convert to fraction form
    7,270.80/10,906.20 = 6,781.20/x
  3. Step 3: Cross multiply
    7,270.80x = 10,906.20 × 6,781.20
  4. Step 4: Simplify right side
    7,270.80x = 73,957,123.44
  5. Step 5: Solve for x
    x = 73,957,123.44/7,270.80
  6. Step 6: Final answer
    x = 10,171.80

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1.5x scale

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.