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Finding the Fourth Proportional to 2,206.83, 3,309.32 and 746.12

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Solution

The fourth proportional to 2,206.83, 3,309.32 and 746.12 is: 1,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.83 : 3,309.32 = 746.12 : x
  2. Step 2: Convert to fraction form
    2,206.83/3,309.32 = 746.12/x
  3. Step 3: Cross multiply
    2,206.83x = 3,309.32 × 746.12
  4. Step 4: Simplify right side
    2,206.83x = 2,469,129.56
  5. Step 5: Solve for x
    x = 2,469,129.56/2,206.83
  6. Step 6: Final answer
    x = 1,118.86

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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.