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Finding the Fourth Proportional to 12,231.12, 18,354 and 5,305.62

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Solution

The fourth proportional to 12,231.12, 18,354 and 5,305.62 is: 7,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.12 : 18,354 = 5,305.62 : x
  2. Step 2: Convert to fraction form
    12,231.12/18,354 = 5,305.62/x
  3. Step 3: Cross multiply
    12,231.12x = 18,354 × 5,305.62
  4. Step 4: Simplify right side
    12,231.12x = 97,379,349.48
  5. Step 5: Solve for x
    x = 97,379,349.48/12,231.12
  6. Step 6: Final answer
    x = 7,961.61

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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.