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Finding the Fourth Proportional to 2,581.68, 3,874.54 and 939.80

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Solution

The fourth proportional to 2,581.68, 3,874.54 and 939.80 is: 1,410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.68 : 3,874.54 = 939.80 : x
  2. Step 2: Convert to fraction form
    2,581.68/3,874.54 = 939.80/x
  3. Step 3: Cross multiply
    2,581.68x = 3,874.54 × 939.80
  4. Step 4: Simplify right side
    2,581.68x = 3,641,292.69
  5. Step 5: Solve for x
    x = 3,641,292.69/2,581.68
  6. Step 6: Final answer
    x = 1,410.44

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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.