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Finding the Fourth Proportional to 2,593, 3,882.41 and 1,813.78

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Solution

The fourth proportional to 2,593, 3,882.41 and 1,813.78 is: 2,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593 : 3,882.41 = 1,813.78 : x
  2. Step 2: Convert to fraction form
    2,593/3,882.41 = 1,813.78/x
  3. Step 3: Cross multiply
    2,593x = 3,882.41 × 1,813.78
  4. Step 4: Simplify right side
    2,593x = 7,041,837.61
  5. Step 5: Solve for x
    x = 7,041,837.61/2,593
  6. Step 6: Final answer
    x = 2,715.71

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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.