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Finding the Fourth Proportional to 11,650.72, 17,472 and 3,857.44

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Solution

The fourth proportional to 11,650.72, 17,472 and 3,857.44 is: 5,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.72 : 17,472 = 3,857.44 : x
  2. Step 2: Convert to fraction form
    11,650.72/17,472 = 3,857.44/x
  3. Step 3: Cross multiply
    11,650.72x = 17,472 × 3,857.44
  4. Step 4: Simplify right side
    11,650.72x = 67,397,191.68
  5. Step 5: Solve for x
    x = 67,397,191.68/11,650.72
  6. Step 6: Final answer
    x = 5,784.81

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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.