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Finding the Fourth Proportional to 7,997.73, 11,982.51 and 7,127.97

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Solution

The fourth proportional to 7,997.73, 11,982.51 and 7,127.97 is: 10,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.73 : 11,982.51 = 7,127.97 : x
  2. Step 2: Convert to fraction form
    7,997.73/11,982.51 = 7,127.97/x
  3. Step 3: Cross multiply
    7,997.73x = 11,982.51 × 7,127.97
  4. Step 4: Simplify right side
    7,997.73x = 85,410,971.80
  5. Step 5: Solve for x
    x = 85,410,971.80/7,997.73
  6. Step 6: Final answer
    x = 10,679.40

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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.