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Finding the Fourth Proportional to 3,884, 5,825.85 and 1,286.91

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Solution

The fourth proportional to 3,884, 5,825.85 and 1,286.91 is: 1,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884 : 5,825.85 = 1,286.91 : x
  2. Step 2: Convert to fraction form
    3,884/5,825.85 = 1,286.91/x
  3. Step 3: Cross multiply
    3,884x = 5,825.85 × 1,286.91
  4. Step 4: Simplify right side
    3,884x = 7,497,344.62
  5. Step 5: Solve for x
    x = 7,497,344.62/3,884
  6. Step 6: Final answer
    x = 1,930.32

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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.