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Finding the Fourth Proportional to 2,173.44, 3,268.80 and 2,042.88

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Solution

The fourth proportional to 2,173.44, 3,268.80 and 2,042.88 is: 3,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.44 : 3,268.80 = 2,042.88 : x
  2. Step 2: Convert to fraction form
    2,173.44/3,268.80 = 2,042.88/x
  3. Step 3: Cross multiply
    2,173.44x = 3,268.80 × 2,042.88
  4. Step 4: Simplify right side
    2,173.44x = 6,677,766.14
  5. Step 5: Solve for x
    x = 6,677,766.14/2,173.44
  6. Step 6: Final answer
    x = 3,072.44

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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.