Home / 4,131.50-6,198.06-1,823

Finding the Fourth Proportional to 4,131.50, 6,198.06 and 1,823

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Solution

The fourth proportional to 4,131.50, 6,198.06 and 1,823 is: 2,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.50 : 6,198.06 = 1,823 : x
  2. Step 2: Convert to fraction form
    4,131.50/6,198.06 = 1,823/x
  3. Step 3: Cross multiply
    4,131.50x = 6,198.06 × 1,823
  4. Step 4: Simplify right side
    4,131.50x = 11,299,063.38
  5. Step 5: Solve for x
    x = 11,299,063.38/4,131.50
  6. Step 6: Final answer
    x = 2,734.86

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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.