Home / 2,972.94-4,456.41-2,149.20

Finding the Fourth Proportional to 2,972.94, 4,456.41 and 2,149.20

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Solution

The fourth proportional to 2,972.94, 4,456.41 and 2,149.20 is: 3,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.94 : 4,456.41 = 2,149.20 : x
  2. Step 2: Convert to fraction form
    2,972.94/4,456.41 = 2,149.20/x
  3. Step 3: Cross multiply
    2,972.94x = 4,456.41 × 2,149.20
  4. Step 4: Simplify right side
    2,972.94x = 9,577,716.37
  5. Step 5: Solve for x
    x = 9,577,716.37/2,972.94
  6. Step 6: Final answer
    x = 3,221.63

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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.