Home / 2,801.75-4,201.63-826.85

Finding the Fourth Proportional to 2,801.75, 4,201.63 and 826.85

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Solution

The fourth proportional to 2,801.75, 4,201.63 and 826.85 is: 1,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.75 : 4,201.63 = 826.85 : x
  2. Step 2: Convert to fraction form
    2,801.75/4,201.63 = 826.85/x
  3. Step 3: Cross multiply
    2,801.75x = 4,201.63 × 826.85
  4. Step 4: Simplify right side
    2,801.75x = 3,474,107.22
  5. Step 5: Solve for x
    x = 3,474,107.22/2,801.75
  6. Step 6: Final answer
    x = 1,239.98

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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.