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Finding the Fourth Proportional to 2,200.16, 3,036.19 and 1,205.44

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Solution

The fourth proportional to 2,200.16, 3,036.19 and 1,205.44 is: 1,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.16 : 3,036.19 = 1,205.44 : x
  2. Step 2: Convert to fraction form
    2,200.16/3,036.19 = 1,205.44/x
  3. Step 3: Cross multiply
    2,200.16x = 3,036.19 × 1,205.44
  4. Step 4: Simplify right side
    2,200.16x = 3,659,923.67
  5. Step 5: Solve for x
    x = 3,659,923.67/2,200.16
  6. Step 6: Final answer
    x = 1,663.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.