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Finding the Fourth Proportional to 11,811.88, 17,707.76 and 5,234.48

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Solution

The fourth proportional to 11,811.88, 17,707.76 and 5,234.48 is: 7,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.88 : 17,707.76 = 5,234.48 : x
  2. Step 2: Convert to fraction form
    11,811.88/17,707.76 = 5,234.48/x
  3. Step 3: Cross multiply
    11,811.88x = 17,707.76 × 5,234.48
  4. Step 4: Simplify right side
    11,811.88x = 92,690,915.56
  5. Step 5: Solve for x
    x = 92,690,915.56/11,811.88
  6. Step 6: Final answer
    x = 7,847.26

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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.