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Finding the Fourth Proportional to 6,481.80, 9,722.70 and 5,497.65

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Solution

The fourth proportional to 6,481.80, 9,722.70 and 5,497.65 is: 8,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.80 : 9,722.70 = 5,497.65 : x
  2. Step 2: Convert to fraction form
    6,481.80/9,722.70 = 5,497.65/x
  3. Step 3: Cross multiply
    6,481.80x = 9,722.70 × 5,497.65
  4. Step 4: Simplify right side
    6,481.80x = 53,452,001.66
  5. Step 5: Solve for x
    x = 53,452,001.66/6,481.80
  6. Step 6: Final answer
    x = 8,246.48

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Similar ratio
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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.