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Finding the Fourth Proportional to 11,914.86, 17,872.70 and 5,679.48

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Solution

The fourth proportional to 11,914.86, 17,872.70 and 5,679.48 is: 8,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.86 : 17,872.70 = 5,679.48 : x
  2. Step 2: Convert to fraction form
    11,914.86/17,872.70 = 5,679.48/x
  3. Step 3: Cross multiply
    11,914.86x = 17,872.70 × 5,679.48
  4. Step 4: Simplify right side
    11,914.86x = 101,507,613.80
  5. Step 5: Solve for x
    x = 101,507,613.80/11,914.86
  6. Step 6: Final answer
    x = 8,519.41

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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.