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Finding the Fourth Proportional to 5,617.82, 7,753.77 and 3,729.56

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Solution

The fourth proportional to 5,617.82, 7,753.77 and 3,729.56 is: 5,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.82 : 7,753.77 = 3,729.56 : x
  2. Step 2: Convert to fraction form
    5,617.82/7,753.77 = 3,729.56/x
  3. Step 3: Cross multiply
    5,617.82x = 7,753.77 × 3,729.56
  4. Step 4: Simplify right side
    5,617.82x = 28,918,150.44
  5. Step 5: Solve for x
    x = 28,918,150.44/5,617.82
  6. Step 6: Final answer
    x = 5,147.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.