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Finding the Fourth Proportional to 2,206.00, 3,309.00 and 939.22

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Solution

The fourth proportional to 2,206.00, 3,309.00 and 939.22 is: 1,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.00 : 3,309.00 = 939.22 : x
  2. Step 2: Convert to fraction form
    2,206.00/3,309.00 = 939.22/x
  3. Step 3: Cross multiply
    2,206.00x = 3,309.00 × 939.22
  4. Step 4: Simplify right side
    2,206.00x = 3,107,880.43
  5. Step 5: Solve for x
    x = 3,107,880.43/2,206.00
  6. Step 6: Final answer
    x = 1,408.83

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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.