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Finding the Fourth Proportional to 2,583.28, 3,874.51 and 939.59

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Solution

The fourth proportional to 2,583.28, 3,874.51 and 939.59 is: 1,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.28 : 3,874.51 = 939.59 : x
  2. Step 2: Convert to fraction form
    2,583.28/3,874.51 = 939.59/x
  3. Step 3: Cross multiply
    2,583.28x = 3,874.51 × 939.59
  4. Step 4: Simplify right side
    2,583.28x = 3,640,450.85
  5. Step 5: Solve for x
    x = 3,640,450.85/2,583.28
  6. Step 6: Final answer
    x = 1,409.24

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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.