Home / 2,176.10-3,262.97-769.82

Finding the Fourth Proportional to 2,176.10, 3,262.97 and 769.82

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Solution

The fourth proportional to 2,176.10, 3,262.97 and 769.82 is: 1,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.10 : 3,262.97 = 769.82 : x
  2. Step 2: Convert to fraction form
    2,176.10/3,262.97 = 769.82/x
  3. Step 3: Cross multiply
    2,176.10x = 3,262.97 × 769.82
  4. Step 4: Simplify right side
    2,176.10x = 2,511,879.40
  5. Step 5: Solve for x
    x = 2,511,879.40/2,176.10
  6. Step 6: Final answer
    x = 1,154.31

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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.