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Finding the Fourth Proportional to 2,129.87, 3,193.13 and 813.38

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Solution

The fourth proportional to 2,129.87, 3,193.13 and 813.38 is: 1,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.87 : 3,193.13 = 813.38 : x
  2. Step 2: Convert to fraction form
    2,129.87/3,193.13 = 813.38/x
  3. Step 3: Cross multiply
    2,129.87x = 3,193.13 × 813.38
  4. Step 4: Simplify right side
    2,129.87x = 2,597,214.15
  5. Step 5: Solve for x
    x = 2,597,214.15/2,129.87
  6. Step 6: Final answer
    x = 1,219.42

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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.