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Finding the Fourth Proportional to 3,883.28, 5,823.84 and 1,285.88

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Solution

The fourth proportional to 3,883.28, 5,823.84 and 1,285.88 is: 1,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.28 : 5,823.84 = 1,285.88 : x
  2. Step 2: Convert to fraction form
    3,883.28/5,823.84 = 1,285.88/x
  3. Step 3: Cross multiply
    3,883.28x = 5,823.84 × 1,285.88
  4. Step 4: Simplify right side
    3,883.28x = 7,488,759.38
  5. Step 5: Solve for x
    x = 7,488,759.38/3,883.28
  6. Step 6: Final answer
    x = 1,928.46

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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.