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Finding the Fourth Proportional to 2,183.74, 3,013.52 and 1,189

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Solution

The fourth proportional to 2,183.74, 3,013.52 and 1,189 is: 1,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.74 : 3,013.52 = 1,189 : x
  2. Step 2: Convert to fraction form
    2,183.74/3,013.52 = 1,189/x
  3. Step 3: Cross multiply
    2,183.74x = 3,013.52 × 1,189
  4. Step 4: Simplify right side
    2,183.74x = 3,583,075.28
  5. Step 5: Solve for x
    x = 3,583,075.28/2,183.74
  6. Step 6: Final answer
    x = 1,640.80

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Why These Related Problems?

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