Home / 3,183.09-4,772.72-1,427.78

Finding the Fourth Proportional to 3,183.09, 4,772.72 and 1,427.78

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Solution

The fourth proportional to 3,183.09, 4,772.72 and 1,427.78 is: 2,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.09 : 4,772.72 = 1,427.78 : x
  2. Step 2: Convert to fraction form
    3,183.09/4,772.72 = 1,427.78/x
  3. Step 3: Cross multiply
    3,183.09x = 4,772.72 × 1,427.78
  4. Step 4: Simplify right side
    3,183.09x = 6,814,373.87
  5. Step 5: Solve for x
    x = 6,814,373.87/3,183.09
  6. Step 6: Final answer
    x = 2,140.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.