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Finding the Fourth Proportional to 3,871.71, 5,804.49 and 1,922.85

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Solution

The fourth proportional to 3,871.71, 5,804.49 and 1,922.85 is: 2,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.71 : 5,804.49 = 1,922.85 : x
  2. Step 2: Convert to fraction form
    3,871.71/5,804.49 = 1,922.85/x
  3. Step 3: Cross multiply
    3,871.71x = 5,804.49 × 1,922.85
  4. Step 4: Simplify right side
    3,871.71x = 11,161,163.60
  5. Step 5: Solve for x
    x = 11,161,163.60/3,871.71
  6. Step 6: Final answer
    x = 2,882.75

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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.