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Finding the Fourth Proportional to 3,984.80, 5,985.84 and 3,839

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Solution

The fourth proportional to 3,984.80, 5,985.84 and 3,839 is: 5,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.80 : 5,985.84 = 3,839 : x
  2. Step 2: Convert to fraction form
    3,984.80/5,985.84 = 3,839/x
  3. Step 3: Cross multiply
    3,984.80x = 5,985.84 × 3,839
  4. Step 4: Simplify right side
    3,984.80x = 22,979,639.76
  5. Step 5: Solve for x
    x = 22,979,639.76/3,984.80
  6. Step 6: Final answer
    x = 5,766.82

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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.