Home / 3,414.15-4,711.64-1,922

Finding the Fourth Proportional to 3,414.15, 4,711.64 and 1,922

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Solution

The fourth proportional to 3,414.15, 4,711.64 and 1,922 is: 2,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.15 : 4,711.64 = 1,922 : x
  2. Step 2: Convert to fraction form
    3,414.15/4,711.64 = 1,922/x
  3. Step 3: Cross multiply
    3,414.15x = 4,711.64 × 1,922
  4. Step 4: Simplify right side
    3,414.15x = 9,055,772.08
  5. Step 5: Solve for x
    x = 9,055,772.08/3,414.15
  6. Step 6: Final answer
    x = 2,652.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.