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Finding the Fourth Proportional to 3,892.34, 5,839.65 and 1,813.56

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Solution

The fourth proportional to 3,892.34, 5,839.65 and 1,813.56 is: 2,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.34 : 5,839.65 = 1,813.56 : x
  2. Step 2: Convert to fraction form
    3,892.34/5,839.65 = 1,813.56/x
  3. Step 3: Cross multiply
    3,892.34x = 5,839.65 × 1,813.56
  4. Step 4: Simplify right side
    3,892.34x = 10,590,555.65
  5. Step 5: Solve for x
    x = 10,590,555.65/3,892.34
  6. Step 6: Final answer
    x = 2,720.87

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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.