Home / 2,306.26-3,182.68-1,361.76

Finding the Fourth Proportional to 2,306.26, 3,182.68 and 1,361.76

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Solution

The fourth proportional to 2,306.26, 3,182.68 and 1,361.76 is: 1,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.26 : 3,182.68 = 1,361.76 : x
  2. Step 2: Convert to fraction form
    2,306.26/3,182.68 = 1,361.76/x
  3. Step 3: Cross multiply
    2,306.26x = 3,182.68 × 1,361.76
  4. Step 4: Simplify right side
    2,306.26x = 4,334,046.32
  5. Step 5: Solve for x
    x = 4,334,046.32/2,306.26
  6. Step 6: Final answer
    x = 1,879.25

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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.