Home / 3,466.16-5,198.92-1,414

Finding the Fourth Proportional to 3,466.16, 5,198.92 and 1,414

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Solution

The fourth proportional to 3,466.16, 5,198.92 and 1,414 is: 2,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.16 : 5,198.92 = 1,414 : x
  2. Step 2: Convert to fraction form
    3,466.16/5,198.92 = 1,414/x
  3. Step 3: Cross multiply
    3,466.16x = 5,198.92 × 1,414
  4. Step 4: Simplify right side
    3,466.16x = 7,351,272.88
  5. Step 5: Solve for x
    x = 7,351,272.88/3,466.16
  6. Step 6: Final answer
    x = 2,120.87

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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.