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Finding the Fourth Proportional to 6,479.31, 9,721.26 and 3,194.73

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Solution

The fourth proportional to 6,479.31, 9,721.26 and 3,194.73 is: 4,793.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.31 : 9,721.26 = 3,194.73 : x
  2. Step 2: Convert to fraction form
    6,479.31/9,721.26 = 3,194.73/x
  3. Step 3: Cross multiply
    6,479.31x = 9,721.26 × 3,194.73
  4. Step 4: Simplify right side
    6,479.31x = 31,056,800.96
  5. Step 5: Solve for x
    x = 31,056,800.96/6,479.31
  6. Step 6: Final answer
    x = 4,793.23

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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.