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Finding the Fourth Proportional to 2,149.02, 3,223.53 and 994.62

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Solution

The fourth proportional to 2,149.02, 3,223.53 and 994.62 is: 1,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.02 : 3,223.53 = 994.62 : x
  2. Step 2: Convert to fraction form
    2,149.02/3,223.53 = 994.62/x
  3. Step 3: Cross multiply
    2,149.02x = 3,223.53 × 994.62
  4. Step 4: Simplify right side
    2,149.02x = 3,206,187.41
  5. Step 5: Solve for x
    x = 3,206,187.41/2,149.02
  6. Step 6: Final answer
    x = 1,491.93

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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.