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Finding the Fourth Proportional to 11,909.92, 17,857.44 and 7,456.48

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Solution

The fourth proportional to 11,909.92, 17,857.44 and 7,456.48 is: 11,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.92 : 17,857.44 = 7,456.48 : x
  2. Step 2: Convert to fraction form
    11,909.92/17,857.44 = 7,456.48/x
  3. Step 3: Cross multiply
    11,909.92x = 17,857.44 × 7,456.48
  4. Step 4: Simplify right side
    11,909.92x = 133,153,644.21
  5. Step 5: Solve for x
    x = 133,153,644.21/11,909.92
  6. Step 6: Final answer
    x = 11,180.06

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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.