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Finding the Fourth Proportional to 2,042.34, 3,063.78 and 743.38

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Solution

The fourth proportional to 2,042.34, 3,063.78 and 743.38 is: 1,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.34 : 3,063.78 = 743.38 : x
  2. Step 2: Convert to fraction form
    2,042.34/3,063.78 = 743.38/x
  3. Step 3: Cross multiply
    2,042.34x = 3,063.78 × 743.38
  4. Step 4: Simplify right side
    2,042.34x = 2,277,552.78
  5. Step 5: Solve for x
    x = 2,277,552.78/2,042.34
  6. Step 6: Final answer
    x = 1,115.17

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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.