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Finding the Fourth Proportional to 3,872.82, 5,809.54 and 2,323.38

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Solution

The fourth proportional to 3,872.82, 5,809.54 and 2,323.38 is: 3,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.82 : 5,809.54 = 2,323.38 : x
  2. Step 2: Convert to fraction form
    3,872.82/5,809.54 = 2,323.38/x
  3. Step 3: Cross multiply
    3,872.82x = 5,809.54 × 2,323.38
  4. Step 4: Simplify right side
    3,872.82x = 13,497,769.05
  5. Step 5: Solve for x
    x = 13,497,769.05/3,872.82
  6. Step 6: Final answer
    x = 3,485.26

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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.