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Finding the Fourth Proportional to 3,763.62, 5,640.39 and 2,119.50

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Solution

The fourth proportional to 3,763.62, 5,640.39 and 2,119.50 is: 3,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.62 : 5,640.39 = 2,119.50 : x
  2. Step 2: Convert to fraction form
    3,763.62/5,640.39 = 2,119.50/x
  3. Step 3: Cross multiply
    3,763.62x = 5,640.39 × 2,119.50
  4. Step 4: Simplify right side
    3,763.62x = 11,954,806.61
  5. Step 5: Solve for x
    x = 11,954,806.61/3,763.62
  6. Step 6: Final answer
    x = 3,176.41

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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.