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Finding the Fourth Proportional to 3,621, 4,997.82 and 2,049.24

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Solution

The fourth proportional to 3,621, 4,997.82 and 2,049.24 is: 2,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621 : 4,997.82 = 2,049.24 : x
  2. Step 2: Convert to fraction form
    3,621/4,997.82 = 2,049.24/x
  3. Step 3: Cross multiply
    3,621x = 4,997.82 × 2,049.24
  4. Step 4: Simplify right side
    3,621x = 10,241,732.66
  5. Step 5: Solve for x
    x = 10,241,732.66/3,621
  6. Step 6: Final answer
    x = 2,828.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.