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Finding the Fourth Proportional to 5,691.78, 8,537.67 and 1,796.49

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Solution

The fourth proportional to 5,691.78, 8,537.67 and 1,796.49 is: 2,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.78 : 8,537.67 = 1,796.49 : x
  2. Step 2: Convert to fraction form
    5,691.78/8,537.67 = 1,796.49/x
  3. Step 3: Cross multiply
    5,691.78x = 8,537.67 × 1,796.49
  4. Step 4: Simplify right side
    5,691.78x = 15,337,838.78
  5. Step 5: Solve for x
    x = 15,337,838.78/5,691.78
  6. Step 6: Final answer
    x = 2,694.74

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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.