Home / 2,081.43-3,122.93-849.20

Finding the Fourth Proportional to 2,081.43, 3,122.93 and 849.20

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Solution

The fourth proportional to 2,081.43, 3,122.93 and 849.20 is: 1,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.43 : 3,122.93 = 849.20 : x
  2. Step 2: Convert to fraction form
    2,081.43/3,122.93 = 849.20/x
  3. Step 3: Cross multiply
    2,081.43x = 3,122.93 × 849.20
  4. Step 4: Simplify right side
    2,081.43x = 2,651,978.66
  5. Step 5: Solve for x
    x = 2,651,978.66/2,081.43
  6. Step 6: Final answer
    x = 1,274.11

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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.