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Finding the Fourth Proportional to 6,906.40, 10,367.70 and 3,947.20

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Solution

The fourth proportional to 6,906.40, 10,367.70 and 3,947.20 is: 5,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.40 : 10,367.70 = 3,947.20 : x
  2. Step 2: Convert to fraction form
    6,906.40/10,367.70 = 3,947.20/x
  3. Step 3: Cross multiply
    6,906.40x = 10,367.70 × 3,947.20
  4. Step 4: Simplify right side
    6,906.40x = 40,923,385.44
  5. Step 5: Solve for x
    x = 40,923,385.44/6,906.40
  6. Step 6: Final answer
    x = 5,925.43

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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.