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Finding the Fourth Proportional to 3,906.84, 5,378.22 and 3,020.97

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Solution

The fourth proportional to 3,906.84, 5,378.22 and 3,020.97 is: 4,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.84 : 5,378.22 = 3,020.97 : x
  2. Step 2: Convert to fraction form
    3,906.84/5,378.22 = 3,020.97/x
  3. Step 3: Cross multiply
    3,906.84x = 5,378.22 × 3,020.97
  4. Step 4: Simplify right side
    3,906.84x = 16,247,441.27
  5. Step 5: Solve for x
    x = 16,247,441.27/3,906.84
  6. Step 6: Final answer
    x = 4,158.72

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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.