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Finding the Fourth Proportional to 2,200, 3,035.85 and 1,205.29

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Solution

The fourth proportional to 2,200, 3,035.85 and 1,205.29 is: 1,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200 : 3,035.85 = 1,205.29 : x
  2. Step 2: Convert to fraction form
    2,200/3,035.85 = 1,205.29/x
  3. Step 3: Cross multiply
    2,200x = 3,035.85 × 1,205.29
  4. Step 4: Simplify right side
    2,200x = 3,659,079.65
  5. Step 5: Solve for x
    x = 3,659,079.65/2,200
  6. Step 6: Final answer
    x = 1,663.22

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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.