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Finding the Fourth Proportional to 2,183.74, 3,013.60 and 1,189.04

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Solution

The fourth proportional to 2,183.74, 3,013.60 and 1,189.04 is: 1,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.74 : 3,013.60 = 1,189.04 : x
  2. Step 2: Convert to fraction form
    2,183.74/3,013.60 = 1,189.04/x
  3. Step 3: Cross multiply
    2,183.74x = 3,013.60 × 1,189.04
  4. Step 4: Simplify right side
    2,183.74x = 3,583,290.94
  5. Step 5: Solve for x
    x = 3,583,290.94/2,183.74
  6. Step 6: Final answer
    x = 1,640.90

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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.