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Finding the Fourth Proportional to 3,968.28, 5,471.03 and 3,414.69

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Solution

The fourth proportional to 3,968.28, 5,471.03 and 3,414.69 is: 4,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.28 : 5,471.03 = 3,414.69 : x
  2. Step 2: Convert to fraction form
    3,968.28/5,471.03 = 3,414.69/x
  3. Step 3: Cross multiply
    3,968.28x = 5,471.03 × 3,414.69
  4. Step 4: Simplify right side
    3,968.28x = 18,681,879.97
  5. Step 5: Solve for x
    x = 18,681,879.97/3,968.28
  6. Step 6: Final answer
    x = 4,707.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.