Home / 3,414.80-5,120.92-1,466

Finding the Fourth Proportional to 3,414.80, 5,120.92 and 1,466

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Solution

The fourth proportional to 3,414.80, 5,120.92 and 1,466 is: 2,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.80 : 5,120.92 = 1,466 : x
  2. Step 2: Convert to fraction form
    3,414.80/5,120.92 = 1,466/x
  3. Step 3: Cross multiply
    3,414.80x = 5,120.92 × 1,466
  4. Step 4: Simplify right side
    3,414.80x = 7,507,268.72
  5. Step 5: Solve for x
    x = 7,507,268.72/3,414.80
  6. Step 6: Final answer
    x = 2,198.45

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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.