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Finding the Fourth Proportional to 7,105.97, 9,806.11 and 3,919.56

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Solution

The fourth proportional to 7,105.97, 9,806.11 and 3,919.56 is: 5,408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.97 : 9,806.11 = 3,919.56 : x
  2. Step 2: Convert to fraction form
    7,105.97/9,806.11 = 3,919.56/x
  3. Step 3: Cross multiply
    7,105.97x = 9,806.11 × 3,919.56
  4. Step 4: Simplify right side
    7,105.97x = 38,435,641.43
  5. Step 5: Solve for x
    x = 38,435,641.43/7,105.97
  6. Step 6: Final answer
    x = 5,408.92

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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.