Home / 2,422.26-3,633.86-862.33

Finding the Fourth Proportional to 2,422.26, 3,633.86 and 862.33

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Solution

The fourth proportional to 2,422.26, 3,633.86 and 862.33 is: 1,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.26 : 3,633.86 = 862.33 : x
  2. Step 2: Convert to fraction form
    2,422.26/3,633.86 = 862.33/x
  3. Step 3: Cross multiply
    2,422.26x = 3,633.86 × 862.33
  4. Step 4: Simplify right side
    2,422.26x = 3,133,586.49
  5. Step 5: Solve for x
    x = 3,133,586.49/2,422.26
  6. Step 6: Final answer
    x = 1,293.66

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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.