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Finding the Fourth Proportional to 7,997.68, 11,997.78 and 2,154.52

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Solution

The fourth proportional to 7,997.68, 11,997.78 and 2,154.52 is: 3,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.68 : 11,997.78 = 2,154.52 : x
  2. Step 2: Convert to fraction form
    7,997.68/11,997.78 = 2,154.52/x
  3. Step 3: Cross multiply
    7,997.68x = 11,997.78 × 2,154.52
  4. Step 4: Simplify right side
    7,997.68x = 25,849,456.97
  5. Step 5: Solve for x
    x = 25,849,456.97/7,997.68
  6. Step 6: Final answer
    x = 3,232.12

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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.