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Finding the Fourth Proportional to 3,920.67, 5,880.87 and 1,839.92

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Solution

The fourth proportional to 3,920.67, 5,880.87 and 1,839.92 is: 2,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.67 : 5,880.87 = 1,839.92 : x
  2. Step 2: Convert to fraction form
    3,920.67/5,880.87 = 1,839.92/x
  3. Step 3: Cross multiply
    3,920.67x = 5,880.87 × 1,839.92
  4. Step 4: Simplify right side
    3,920.67x = 10,820,300.93
  5. Step 5: Solve for x
    x = 10,820,300.93/3,920.67
  6. Step 6: Final answer
    x = 2,759.81

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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.