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Finding the Fourth Proportional to 2,138.73, 3,192.78 and 2,044.17

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Solution

The fourth proportional to 2,138.73, 3,192.78 and 2,044.17 is: 3,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.73 : 3,192.78 = 2,044.17 : x
  2. Step 2: Convert to fraction form
    2,138.73/3,192.78 = 2,044.17/x
  3. Step 3: Cross multiply
    2,138.73x = 3,192.78 × 2,044.17
  4. Step 4: Simplify right side
    2,138.73x = 6,526,585.09
  5. Step 5: Solve for x
    x = 6,526,585.09/2,138.73
  6. Step 6: Final answer
    x = 3,051.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.