Home / 2,771.73-4,158.21-823.82

Finding the Fourth Proportional to 2,771.73, 4,158.21 and 823.82

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Solution

The fourth proportional to 2,771.73, 4,158.21 and 823.82 is: 1,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.73 : 4,158.21 = 823.82 : x
  2. Step 2: Convert to fraction form
    2,771.73/4,158.21 = 823.82/x
  3. Step 3: Cross multiply
    2,771.73x = 4,158.21 × 823.82
  4. Step 4: Simplify right side
    2,771.73x = 3,425,595.77
  5. Step 5: Solve for x
    x = 3,425,595.77/2,771.73
  6. Step 6: Final answer
    x = 1,235.91

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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.