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Finding the Fourth Proportional to 7,857.43, 11,780.49 and 2,589.49

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Solution

The fourth proportional to 7,857.43, 11,780.49 and 2,589.49 is: 3,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.43 : 11,780.49 = 2,589.49 : x
  2. Step 2: Convert to fraction form
    7,857.43/11,780.49 = 2,589.49/x
  3. Step 3: Cross multiply
    7,857.43x = 11,780.49 × 2,589.49
  4. Step 4: Simplify right side
    7,857.43x = 30,505,504.05
  5. Step 5: Solve for x
    x = 30,505,504.05/7,857.43
  6. Step 6: Final answer
    x = 3,882.38

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1.5x scale

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.