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Finding the Fourth Proportional to 7,728.78, 11,591.10 and 2,180.82

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Solution

The fourth proportional to 7,728.78, 11,591.10 and 2,180.82 is: 3,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.78 : 11,591.10 = 2,180.82 : x
  2. Step 2: Convert to fraction form
    7,728.78/11,591.10 = 2,180.82/x
  3. Step 3: Cross multiply
    7,728.78x = 11,591.10 × 2,180.82
  4. Step 4: Simplify right side
    7,728.78x = 25,278,102.70
  5. Step 5: Solve for x
    x = 25,278,102.70/7,728.78
  6. Step 6: Final answer
    x = 3,270.65

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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.