Home / 2,138.14-3,205.30-839.30

Finding the Fourth Proportional to 2,138.14, 3,205.30 and 839.30

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Solution

The fourth proportional to 2,138.14, 3,205.30 and 839.30 is: 1,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.14 : 3,205.30 = 839.30 : x
  2. Step 2: Convert to fraction form
    2,138.14/3,205.30 = 839.30/x
  3. Step 3: Cross multiply
    2,138.14x = 3,205.30 × 839.30
  4. Step 4: Simplify right side
    2,138.14x = 2,690,208.29
  5. Step 5: Solve for x
    x = 2,690,208.29/2,138.14
  6. Step 6: Final answer
    x = 1,258.20

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1.5x scale

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.