Home / 2,137.14-3,183.21-2,002.14

Finding the Fourth Proportional to 2,137.14, 3,183.21 and 2,002.14

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Solution

The fourth proportional to 2,137.14, 3,183.21 and 2,002.14 is: 2,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.14 : 3,183.21 = 2,002.14 : x
  2. Step 2: Convert to fraction form
    2,137.14/3,183.21 = 2,002.14/x
  3. Step 3: Cross multiply
    2,137.14x = 3,183.21 × 2,002.14
  4. Step 4: Simplify right side
    2,137.14x = 6,373,232.07
  5. Step 5: Solve for x
    x = 6,373,232.07/2,137.14
  6. Step 6: Final answer
    x = 2,982.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.