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Finding the Fourth Proportional to 3,956.86, 5,919.49 and 3,414.97

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Solution

The fourth proportional to 3,956.86, 5,919.49 and 3,414.97 is: 5,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.86 : 5,919.49 = 3,414.97 : x
  2. Step 2: Convert to fraction form
    3,956.86/5,919.49 = 3,414.97/x
  3. Step 3: Cross multiply
    3,956.86x = 5,919.49 × 3,414.97
  4. Step 4: Simplify right side
    3,956.86x = 20,214,880.77
  5. Step 5: Solve for x
    x = 20,214,880.77/3,956.86
  6. Step 6: Final answer
    x = 5,108.82

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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.