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Finding the Fourth Proportional to 7,997.88, 11,988.72 and 3,831.78

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Solution

The fourth proportional to 7,997.88, 11,988.72 and 3,831.78 is: 5,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.88 : 11,988.72 = 3,831.78 : x
  2. Step 2: Convert to fraction form
    7,997.88/11,988.72 = 3,831.78/x
  3. Step 3: Cross multiply
    7,997.88x = 11,988.72 × 3,831.78
  4. Step 4: Simplify right side
    7,997.88x = 45,938,137.52
  5. Step 5: Solve for x
    x = 45,938,137.52/7,997.88
  6. Step 6: Final answer
    x = 5,743.79

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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.