Home / 2,771.16-4,156.38-823.56

Finding the Fourth Proportional to 2,771.16, 4,156.38 and 823.56

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Solution

The fourth proportional to 2,771.16, 4,156.38 and 823.56 is: 1,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.16 : 4,156.38 = 823.56 : x
  2. Step 2: Convert to fraction form
    2,771.16/4,156.38 = 823.56/x
  3. Step 3: Cross multiply
    2,771.16x = 4,156.38 × 823.56
  4. Step 4: Simplify right side
    2,771.16x = 3,423,028.31
  5. Step 5: Solve for x
    x = 3,423,028.31/2,771.16
  6. Step 6: Final answer
    x = 1,235.23

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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.