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Finding the Fourth Proportional to 6,480.78, 9,722.12 and 3,194.08

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Solution

The fourth proportional to 6,480.78, 9,722.12 and 3,194.08 is: 4,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.78 : 9,722.12 = 3,194.08 : x
  2. Step 2: Convert to fraction form
    6,480.78/9,722.12 = 3,194.08/x
  3. Step 3: Cross multiply
    6,480.78x = 9,722.12 × 3,194.08
  4. Step 4: Simplify right side
    6,480.78x = 31,053,229.05
  5. Step 5: Solve for x
    x = 31,053,229.05/6,480.78
  6. Step 6: Final answer
    x = 4,791.59

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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.