Home / 2,206.45-3,309.99-746.02

Finding the Fourth Proportional to 2,206.45, 3,309.99 and 746.02

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Solution

The fourth proportional to 2,206.45, 3,309.99 and 746.02 is: 1,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.45 : 3,309.99 = 746.02 : x
  2. Step 2: Convert to fraction form
    2,206.45/3,309.99 = 746.02/x
  3. Step 3: Cross multiply
    2,206.45x = 3,309.99 × 746.02
  4. Step 4: Simplify right side
    2,206.45x = 2,469,310.46
  5. Step 5: Solve for x
    x = 2,469,310.46/2,206.45
  6. Step 6: Final answer
    x = 1,119.13

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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.