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Finding the Fourth Proportional to 2,883, 4,324.50 and 831

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Solution

The fourth proportional to 2,883, 4,324.50 and 831 is: 1,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883 : 4,324.50 = 831 : x
  2. Step 2: Convert to fraction form
    2,883/4,324.50 = 831/x
  3. Step 3: Cross multiply
    2,883x = 4,324.50 × 831
  4. Step 4: Simplify right side
    2,883x = 3,593,659.50
  5. Step 5: Solve for x
    x = 3,593,659.50/2,883
  6. Step 6: Final answer
    x = 1,246.50

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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.