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Finding the Fourth Proportional to 3,202.80, 4,804.52 and 1,150.32

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Solution

The fourth proportional to 3,202.80, 4,804.52 and 1,150.32 is: 1,725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.80 : 4,804.52 = 1,150.32 : x
  2. Step 2: Convert to fraction form
    3,202.80/4,804.52 = 1,150.32/x
  3. Step 3: Cross multiply
    3,202.80x = 4,804.52 × 1,150.32
  4. Step 4: Simplify right side
    3,202.80x = 5,526,735.45
  5. Step 5: Solve for x
    x = 5,526,735.45/3,202.80
  6. Step 6: Final answer
    x = 1,725.59

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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.