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Finding the Fourth Proportional to 2,149.54, 3,223.87 and 762.85

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Solution

The fourth proportional to 2,149.54, 3,223.87 and 762.85 is: 1,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.54 : 3,223.87 = 762.85 : x
  2. Step 2: Convert to fraction form
    2,149.54/3,223.87 = 762.85/x
  3. Step 3: Cross multiply
    2,149.54x = 3,223.87 × 762.85
  4. Step 4: Simplify right side
    2,149.54x = 2,459,329.23
  5. Step 5: Solve for x
    x = 2,459,329.23/2,149.54
  6. Step 6: Final answer
    x = 1,144.12

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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.