Home / 2,771.83-4,157.67-823.87

Finding the Fourth Proportional to 2,771.83, 4,157.67 and 823.87

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Solution

The fourth proportional to 2,771.83, 4,157.67 and 823.87 is: 1,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.83 : 4,157.67 = 823.87 : x
  2. Step 2: Convert to fraction form
    2,771.83/4,157.67 = 823.87/x
  3. Step 3: Cross multiply
    2,771.83x = 4,157.67 × 823.87
  4. Step 4: Simplify right side
    2,771.83x = 3,425,379.58
  5. Step 5: Solve for x
    x = 3,425,379.58/2,771.83
  6. Step 6: Final answer
    x = 1,235.78

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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.