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Finding the Fourth Proportional to 2,648.75, 3,945.14 and 2,509.97

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Solution

The fourth proportional to 2,648.75, 3,945.14 and 2,509.97 is: 3,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.75 : 3,945.14 = 2,509.97 : x
  2. Step 2: Convert to fraction form
    2,648.75/3,945.14 = 2,509.97/x
  3. Step 3: Cross multiply
    2,648.75x = 3,945.14 × 2,509.97
  4. Step 4: Simplify right side
    2,648.75x = 9,902,183.05
  5. Step 5: Solve for x
    x = 9,902,183.05/2,648.75
  6. Step 6: Final answer
    x = 3,738.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.