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Finding the Fourth Proportional to 3,871.99, 5,809 and 1,922.73

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Solution

The fourth proportional to 3,871.99, 5,809 and 1,922.73 is: 2,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.99 : 5,809 = 1,922.73 : x
  2. Step 2: Convert to fraction form
    3,871.99/5,809 = 1,922.73/x
  3. Step 3: Cross multiply
    3,871.99x = 5,809 × 1,922.73
  4. Step 4: Simplify right side
    3,871.99x = 11,169,138.57
  5. Step 5: Solve for x
    x = 11,169,138.57/3,871.99
  6. Step 6: Final answer
    x = 2,884.60

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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.