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Finding the Fourth Proportional to 2,203.68, 3,305.68 and 1,107.44

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Solution

The fourth proportional to 2,203.68, 3,305.68 and 1,107.44 is: 1,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.68 : 3,305.68 = 1,107.44 : x
  2. Step 2: Convert to fraction form
    2,203.68/3,305.68 = 1,107.44/x
  3. Step 3: Cross multiply
    2,203.68x = 3,305.68 × 1,107.44
  4. Step 4: Simplify right side
    2,203.68x = 3,660,842.26
  5. Step 5: Solve for x
    x = 3,660,842.26/2,203.68
  6. Step 6: Final answer
    x = 1,661.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.