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Finding the Fourth Proportional to 7,997.81, 11,997.97 and 2,154.65

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Solution

The fourth proportional to 7,997.81, 11,997.97 and 2,154.65 is: 3,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.81 : 11,997.97 = 2,154.65 : x
  2. Step 2: Convert to fraction form
    7,997.81/11,997.97 = 2,154.65/x
  3. Step 3: Cross multiply
    7,997.81x = 11,997.97 × 2,154.65
  4. Step 4: Simplify right side
    7,997.81x = 25,851,360.68
  5. Step 5: Solve for x
    x = 25,851,360.68/7,997.81
  6. Step 6: Final answer
    x = 3,232.31

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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.