Home / 2,081.22-3,122.64-695.04

Finding the Fourth Proportional to 2,081.22, 3,122.64 and 695.04

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Solution

The fourth proportional to 2,081.22, 3,122.64 and 695.04 is: 1,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.22 : 3,122.64 = 695.04 : x
  2. Step 2: Convert to fraction form
    2,081.22/3,122.64 = 695.04/x
  3. Step 3: Cross multiply
    2,081.22x = 3,122.64 × 695.04
  4. Step 4: Simplify right side
    2,081.22x = 2,170,359.71
  5. Step 5: Solve for x
    x = 2,170,359.71/2,081.22
  6. Step 6: Final answer
    x = 1,042.83

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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.