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Finding the Fourth Proportional to 2,821, 4,231.50 and 872.68

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Solution

The fourth proportional to 2,821, 4,231.50 and 872.68 is: 1,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821 : 4,231.50 = 872.68 : x
  2. Step 2: Convert to fraction form
    2,821/4,231.50 = 872.68/x
  3. Step 3: Cross multiply
    2,821x = 4,231.50 × 872.68
  4. Step 4: Simplify right side
    2,821x = 3,692,745.42
  5. Step 5: Solve for x
    x = 3,692,745.42/2,821
  6. Step 6: Final answer
    x = 1,309.02

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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.