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Finding the Fourth Proportional to 2,149.03, 3,223.75 and 762.31

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Solution

The fourth proportional to 2,149.03, 3,223.75 and 762.31 is: 1,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.03 : 3,223.75 = 762.31 : x
  2. Step 2: Convert to fraction form
    2,149.03/3,223.75 = 762.31/x
  3. Step 3: Cross multiply
    2,149.03x = 3,223.75 × 762.31
  4. Step 4: Simplify right side
    2,149.03x = 2,457,500.42
  5. Step 5: Solve for x
    x = 2,457,500.42/2,149.03
  6. Step 6: Final answer
    x = 1,143.54

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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.