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Finding the Fourth Proportional to 3,816.82, 5,739.09 and 3,512.31

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Solution

The fourth proportional to 3,816.82, 5,739.09 and 3,512.31 is: 5,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.82 : 5,739.09 = 3,512.31 : x
  2. Step 2: Convert to fraction form
    3,816.82/5,739.09 = 3,512.31/x
  3. Step 3: Cross multiply
    3,816.82x = 5,739.09 × 3,512.31
  4. Step 4: Simplify right side
    3,816.82x = 20,157,463.20
  5. Step 5: Solve for x
    x = 20,157,463.20/3,816.82
  6. Step 6: Final answer
    x = 5,281.22

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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.