Home / 3,131.13-4,696.89-822.63

Finding the Fourth Proportional to 3,131.13, 4,696.89 and 822.63

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Solution

The fourth proportional to 3,131.13, 4,696.89 and 822.63 is: 1,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.13 : 4,696.89 = 822.63 : x
  2. Step 2: Convert to fraction form
    3,131.13/4,696.89 = 822.63/x
  3. Step 3: Cross multiply
    3,131.13x = 4,696.89 × 822.63
  4. Step 4: Simplify right side
    3,131.13x = 3,863,802.62
  5. Step 5: Solve for x
    x = 3,863,802.62/3,131.13
  6. Step 6: Final answer
    x = 1,234.00

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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.