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Finding the Fourth Proportional to 7,789.60, 11,680.80 and 3,404.80

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Solution

The fourth proportional to 7,789.60, 11,680.80 and 3,404.80 is: 5,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.60 : 11,680.80 = 3,404.80 : x
  2. Step 2: Convert to fraction form
    7,789.60/11,680.80 = 3,404.80/x
  3. Step 3: Cross multiply
    7,789.60x = 11,680.80 × 3,404.80
  4. Step 4: Simplify right side
    7,789.60x = 39,770,787.84
  5. Step 5: Solve for x
    x = 39,770,787.84/7,789.60
  6. Step 6: Final answer
    x = 5,105.63

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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.