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Finding the Fourth Proportional to 3,884.62, 5,828.28 and 1,287.76

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Solution

The fourth proportional to 3,884.62, 5,828.28 and 1,287.76 is: 1,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.62 : 5,828.28 = 1,287.76 : x
  2. Step 2: Convert to fraction form
    3,884.62/5,828.28 = 1,287.76/x
  3. Step 3: Cross multiply
    3,884.62x = 5,828.28 × 1,287.76
  4. Step 4: Simplify right side
    3,884.62x = 7,505,425.85
  5. Step 5: Solve for x
    x = 7,505,425.85/3,884.62
  6. Step 6: Final answer
    x = 1,932.09

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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.