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Finding the Fourth Proportional to 2,331.22, 3,496.83 and 687.82

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Solution

The fourth proportional to 2,331.22, 3,496.83 and 687.82 is: 1,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.22 : 3,496.83 = 687.82 : x
  2. Step 2: Convert to fraction form
    2,331.22/3,496.83 = 687.82/x
  3. Step 3: Cross multiply
    2,331.22x = 3,496.83 × 687.82
  4. Step 4: Simplify right side
    2,331.22x = 2,405,189.61
  5. Step 5: Solve for x
    x = 2,405,189.61/2,331.22
  6. Step 6: Final answer
    x = 1,031.73

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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.