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Finding the Fourth Proportional to 6,747.70, 10,121.55 and 6,456.10

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Solution

The fourth proportional to 6,747.70, 10,121.55 and 6,456.10 is: 9,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.70 : 10,121.55 = 6,456.10 : x
  2. Step 2: Convert to fraction form
    6,747.70/10,121.55 = 6,456.10/x
  3. Step 3: Cross multiply
    6,747.70x = 10,121.55 × 6,456.10
  4. Step 4: Simplify right side
    6,747.70x = 65,345,738.96
  5. Step 5: Solve for x
    x = 65,345,738.96/6,747.70
  6. Step 6: Final answer
    x = 9,684.15

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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.