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Finding the Fourth Proportional to 6,481.40, 9,723.90 and 3,194.60

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Solution

The fourth proportional to 6,481.40, 9,723.90 and 3,194.60 is: 4,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.40 : 9,723.90 = 3,194.60 : x
  2. Step 2: Convert to fraction form
    6,481.40/9,723.90 = 3,194.60/x
  3. Step 3: Cross multiply
    6,481.40x = 9,723.90 × 3,194.60
  4. Step 4: Simplify right side
    6,481.40x = 31,063,970.94
  5. Step 5: Solve for x
    x = 31,063,970.94/6,481.40
  6. Step 6: Final answer
    x = 4,792.79

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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.