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Finding the Fourth Proportional to 3,621, 4,997.04 and 1,965

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Solution

The fourth proportional to 3,621, 4,997.04 and 1,965 is: 2,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621 : 4,997.04 = 1,965 : x
  2. Step 2: Convert to fraction form
    3,621/4,997.04 = 1,965/x
  3. Step 3: Cross multiply
    3,621x = 4,997.04 × 1,965
  4. Step 4: Simplify right side
    3,621x = 9,819,183.60
  5. Step 5: Solve for x
    x = 9,819,183.60/3,621
  6. Step 6: Final answer
    x = 2,711.73

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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.