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Finding the Fourth Proportional to 3,880.28, 5,819.34 and 1,282.88

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Solution

The fourth proportional to 3,880.28, 5,819.34 and 1,282.88 is: 1,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.28 : 5,819.34 = 1,282.88 : x
  2. Step 2: Convert to fraction form
    3,880.28/5,819.34 = 1,282.88/x
  3. Step 3: Cross multiply
    3,880.28x = 5,819.34 × 1,282.88
  4. Step 4: Simplify right side
    3,880.28x = 7,465,514.90
  5. Step 5: Solve for x
    x = 7,465,514.90/3,880.28
  6. Step 6: Final answer
    x = 1,923.96

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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.