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Finding the Fourth Proportional to 6,793.80, 9,375 and 3,809.60

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Solution

The fourth proportional to 6,793.80, 9,375 and 3,809.60 is: 5,257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793.80 : 9,375 = 3,809.60 : x
  2. Step 2: Convert to fraction form
    6,793.80/9,375 = 3,809.60/x
  3. Step 3: Cross multiply
    6,793.80x = 9,375 × 3,809.60
  4. Step 4: Simplify right side
    6,793.80x = 35,715,000
  5. Step 5: Solve for x
    x = 35,715,000/6,793.80
  6. Step 6: Final answer
    x = 5,257.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.