Home / 1,996.21-2,995.52-826.23

Finding the Fourth Proportional to 1,996.21, 2,995.52 and 826.23

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Solution

The fourth proportional to 1,996.21, 2,995.52 and 826.23 is: 1,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.21 : 2,995.52 = 826.23 : x
  2. Step 2: Convert to fraction form
    1,996.21/2,995.52 = 826.23/x
  3. Step 3: Cross multiply
    1,996.21x = 2,995.52 × 826.23
  4. Step 4: Simplify right side
    1,996.21x = 2,474,995.59
  5. Step 5: Solve for x
    x = 2,474,995.59/1,996.21
  6. Step 6: Final answer
    x = 1,239.85

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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.