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Finding the Fourth Proportional to 3,872.71, 5,805.99 and 1,923.85

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Solution

The fourth proportional to 3,872.71, 5,805.99 and 1,923.85 is: 2,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.71 : 5,805.99 = 1,923.85 : x
  2. Step 2: Convert to fraction form
    3,872.71/5,805.99 = 1,923.85/x
  3. Step 3: Cross multiply
    3,872.71x = 5,805.99 × 1,923.85
  4. Step 4: Simplify right side
    3,872.71x = 11,169,853.86
  5. Step 5: Solve for x
    x = 11,169,853.86/3,872.71
  6. Step 6: Final answer
    x = 2,884.25

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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.