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Finding the Fourth Proportional to 7,872.83, 11,811.29 and 3,489.24

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Solution

The fourth proportional to 7,872.83, 11,811.29 and 3,489.24 is: 5,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.83 : 11,811.29 = 3,489.24 : x
  2. Step 2: Convert to fraction form
    7,872.83/11,811.29 = 3,489.24/x
  3. Step 3: Cross multiply
    7,872.83x = 11,811.29 × 3,489.24
  4. Step 4: Simplify right side
    7,872.83x = 41,212,408.07
  5. Step 5: Solve for x
    x = 41,212,408.07/7,872.83
  6. Step 6: Final answer
    x = 5,234.77

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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.