Home / 2,771.08-4,157.32-823.22

Finding the Fourth Proportional to 2,771.08, 4,157.32 and 823.22

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Solution

The fourth proportional to 2,771.08, 4,157.32 and 823.22 is: 1,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.08 : 4,157.32 = 823.22 : x
  2. Step 2: Convert to fraction form
    2,771.08/4,157.32 = 823.22/x
  3. Step 3: Cross multiply
    2,771.08x = 4,157.32 × 823.22
  4. Step 4: Simplify right side
    2,771.08x = 3,422,388.97
  5. Step 5: Solve for x
    x = 3,422,388.97/2,771.08
  6. Step 6: Final answer
    x = 1,235.04

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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.