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Finding the Fourth Proportional to 6,906.80, 10,360.20 and 3,207.80

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Solution

The fourth proportional to 6,906.80, 10,360.20 and 3,207.80 is: 4,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.80 : 10,360.20 = 3,207.80 : x
  2. Step 2: Convert to fraction form
    6,906.80/10,360.20 = 3,207.80/x
  3. Step 3: Cross multiply
    6,906.80x = 10,360.20 × 3,207.80
  4. Step 4: Simplify right side
    6,906.80x = 33,233,449.56
  5. Step 5: Solve for x
    x = 33,233,449.56/6,906.80
  6. Step 6: Final answer
    x = 4,811.70

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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.