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Finding the Fourth Proportional to 5,189.44, 7,791.72 and 3,235.72

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Solution

The fourth proportional to 5,189.44, 7,791.72 and 3,235.72 is: 4,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.44 : 7,791.72 = 3,235.72 : x
  2. Step 2: Convert to fraction form
    5,189.44/7,791.72 = 3,235.72/x
  3. Step 3: Cross multiply
    5,189.44x = 7,791.72 × 3,235.72
  4. Step 4: Simplify right side
    5,189.44x = 25,211,824.24
  5. Step 5: Solve for x
    x = 25,211,824.24/5,189.44
  6. Step 6: Final answer
    x = 4,858.29

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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.