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Finding the Fourth Proportional to 3,812.72, 5,703.26 and 3,579.44

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Solution

The fourth proportional to 3,812.72, 5,703.26 and 3,579.44 is: 5,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.72 : 5,703.26 = 3,579.44 : x
  2. Step 2: Convert to fraction form
    3,812.72/5,703.26 = 3,579.44/x
  3. Step 3: Cross multiply
    3,812.72x = 5,703.26 × 3,579.44
  4. Step 4: Simplify right side
    3,812.72x = 20,414,476.97
  5. Step 5: Solve for x
    x = 20,414,476.97/3,812.72
  6. Step 6: Final answer
    x = 5,354.31

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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.