Home / 2,083.20-3,122.49-850.31

Finding the Fourth Proportional to 2,083.20, 3,122.49 and 850.31

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Solution

The fourth proportional to 2,083.20, 3,122.49 and 850.31 is: 1,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.20 : 3,122.49 = 850.31 : x
  2. Step 2: Convert to fraction form
    2,083.20/3,122.49 = 850.31/x
  3. Step 3: Cross multiply
    2,083.20x = 3,122.49 × 850.31
  4. Step 4: Simplify right side
    2,083.20x = 2,655,068.86
  5. Step 5: Solve for x
    x = 2,655,068.86/2,083.20
  6. Step 6: Final answer
    x = 1,274.51

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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.