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Finding the Fourth Proportional to 5,745.20, 7,928.37 and 3,261.20

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Solution

The fourth proportional to 5,745.20, 7,928.37 and 3,261.20 is: 4,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.20 : 7,928.37 = 3,261.20 : x
  2. Step 2: Convert to fraction form
    5,745.20/7,928.37 = 3,261.20/x
  3. Step 3: Cross multiply
    5,745.20x = 7,928.37 × 3,261.20
  4. Step 4: Simplify right side
    5,745.20x = 25,855,960.60
  5. Step 5: Solve for x
    x = 25,855,960.60/5,745.20
  6. Step 6: Final answer
    x = 4,500.45

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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.