Home / 2,771.75-4,158.31-823.95

Finding the Fourth Proportional to 2,771.75, 4,158.31 and 823.95

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Solution

The fourth proportional to 2,771.75, 4,158.31 and 823.95 is: 1,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.75 : 4,158.31 = 823.95 : x
  2. Step 2: Convert to fraction form
    2,771.75/4,158.31 = 823.95/x
  3. Step 3: Cross multiply
    2,771.75x = 4,158.31 × 823.95
  4. Step 4: Simplify right side
    2,771.75x = 3,426,239.52
  5. Step 5: Solve for x
    x = 3,426,239.52/2,771.75
  6. Step 6: Final answer
    x = 1,236.13

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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.