Home / 3,131.28-4,696.86-822.78

Finding the Fourth Proportional to 3,131.28, 4,696.86 and 822.78

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Solution

The fourth proportional to 3,131.28, 4,696.86 and 822.78 is: 1,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.28 : 4,696.86 = 822.78 : x
  2. Step 2: Convert to fraction form
    3,131.28/4,696.86 = 822.78/x
  3. Step 3: Cross multiply
    3,131.28x = 4,696.86 × 822.78
  4. Step 4: Simplify right side
    3,131.28x = 3,864,482.47
  5. Step 5: Solve for x
    x = 3,864,482.47/3,131.28
  6. Step 6: Final answer
    x = 1,234.15

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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.