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Finding the Fourth Proportional to 2,122.11, 3,183.17 and 662.22

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Solution

The fourth proportional to 2,122.11, 3,183.17 and 662.22 is: 993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.11 : 3,183.17 = 662.22 : x
  2. Step 2: Convert to fraction form
    2,122.11/3,183.17 = 662.22/x
  3. Step 3: Cross multiply
    2,122.11x = 3,183.17 × 662.22
  4. Step 4: Simplify right side
    2,122.11x = 2,107,955.53
  5. Step 5: Solve for x
    x = 2,107,955.53/2,122.11
  6. Step 6: Final answer
    x = 993.33

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1.5x scale

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.