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Finding the Fourth Proportional to 3,809.95, 5,711.28 and 1,861.09

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Solution

The fourth proportional to 3,809.95, 5,711.28 and 1,861.09 is: 2,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.95 : 5,711.28 = 1,861.09 : x
  2. Step 2: Convert to fraction form
    3,809.95/5,711.28 = 1,861.09/x
  3. Step 3: Cross multiply
    3,809.95x = 5,711.28 × 1,861.09
  4. Step 4: Simplify right side
    3,809.95x = 10,629,206.10
  5. Step 5: Solve for x
    x = 10,629,206.10/3,809.95
  6. Step 6: Final answer
    x = 2,789.85

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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.