Home / 2,771.28-4,156.84-823.52

Finding the Fourth Proportional to 2,771.28, 4,156.84 and 823.52

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Solution

The fourth proportional to 2,771.28, 4,156.84 and 823.52 is: 1,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.28 : 4,156.84 = 823.52 : x
  2. Step 2: Convert to fraction form
    2,771.28/4,156.84 = 823.52/x
  3. Step 3: Cross multiply
    2,771.28x = 4,156.84 × 823.52
  4. Step 4: Simplify right side
    2,771.28x = 3,423,240.88
  5. Step 5: Solve for x
    x = 3,423,240.88/2,771.28
  6. Step 6: Final answer
    x = 1,235.26

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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.