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Finding the Fourth Proportional to 3,879.56, 5,819.95 and 1,283.11

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Solution

The fourth proportional to 3,879.56, 5,819.95 and 1,283.11 is: 1,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.56 : 5,819.95 = 1,283.11 : x
  2. Step 2: Convert to fraction form
    3,879.56/5,819.95 = 1,283.11/x
  3. Step 3: Cross multiply
    3,879.56x = 5,819.95 × 1,283.11
  4. Step 4: Simplify right side
    3,879.56x = 7,467,623.10
  5. Step 5: Solve for x
    x = 7,467,623.10/3,879.56
  6. Step 6: Final answer
    x = 1,924.86

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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.