Home / 3,106.91-4,660.82-1,027.13

Finding the Fourth Proportional to 3,106.91, 4,660.82 and 1,027.13

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Solution

The fourth proportional to 3,106.91, 4,660.82 and 1,027.13 is: 1,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.91 : 4,660.82 = 1,027.13 : x
  2. Step 2: Convert to fraction form
    3,106.91/4,660.82 = 1,027.13/x
  3. Step 3: Cross multiply
    3,106.91x = 4,660.82 × 1,027.13
  4. Step 4: Simplify right side
    3,106.91x = 4,787,239.61
  5. Step 5: Solve for x
    x = 4,787,239.61/3,106.91
  6. Step 6: Final answer
    x = 1,540.84

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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.