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Finding the Fourth Proportional to 2,149.81, 3,223.90 and 994.75

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Solution

The fourth proportional to 2,149.81, 3,223.90 and 994.75 is: 1,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.81 : 3,223.90 = 994.75 : x
  2. Step 2: Convert to fraction form
    2,149.81/3,223.90 = 994.75/x
  3. Step 3: Cross multiply
    2,149.81x = 3,223.90 × 994.75
  4. Step 4: Simplify right side
    2,149.81x = 3,206,974.53
  5. Step 5: Solve for x
    x = 3,206,974.53/2,149.81
  6. Step 6: Final answer
    x = 1,491.75

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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.