Home / 2,675.77-4,013.82-826.91

Finding the Fourth Proportional to 2,675.77, 4,013.82 and 826.91

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Solution

The fourth proportional to 2,675.77, 4,013.82 and 826.91 is: 1,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.77 : 4,013.82 = 826.91 : x
  2. Step 2: Convert to fraction form
    2,675.77/4,013.82 = 826.91/x
  3. Step 3: Cross multiply
    2,675.77x = 4,013.82 × 826.91
  4. Step 4: Simplify right side
    2,675.77x = 3,319,062.88
  5. Step 5: Solve for x
    x = 3,319,062.88/2,675.77
  6. Step 6: Final answer
    x = 1,240.42

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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.