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Finding the Fourth Proportional to 11,469.24, 15,832.80 and 8,349.12

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Solution

The fourth proportional to 11,469.24, 15,832.80 and 8,349.12 is: 11,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.24 : 15,832.80 = 8,349.12 : x
  2. Step 2: Convert to fraction form
    11,469.24/15,832.80 = 8,349.12/x
  3. Step 3: Cross multiply
    11,469.24x = 15,832.80 × 8,349.12
  4. Step 4: Simplify right side
    11,469.24x = 132,189,947.14
  5. Step 5: Solve for x
    x = 132,189,947.14/11,469.24
  6. Step 6: Final answer
    x = 11,525.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.