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Finding the Fourth Proportional to 3,410.94, 5,114.78 and 1,949.70

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Solution

The fourth proportional to 3,410.94, 5,114.78 and 1,949.70 is: 2,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.94 : 5,114.78 = 1,949.70 : x
  2. Step 2: Convert to fraction form
    3,410.94/5,114.78 = 1,949.70/x
  3. Step 3: Cross multiply
    3,410.94x = 5,114.78 × 1,949.70
  4. Step 4: Simplify right side
    3,410.94x = 9,972,286.57
  5. Step 5: Solve for x
    x = 9,972,286.57/3,410.94
  6. Step 6: Final answer
    x = 2,923.62

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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.