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Finding the Fourth Proportional to 11,656.86, 17,476.14 and 7,949.88

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Solution

The fourth proportional to 11,656.86, 17,476.14 and 7,949.88 is: 11,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.86 : 17,476.14 = 7,949.88 : x
  2. Step 2: Convert to fraction form
    11,656.86/17,476.14 = 7,949.88/x
  3. Step 3: Cross multiply
    11,656.86x = 17,476.14 × 7,949.88
  4. Step 4: Simplify right side
    11,656.86x = 138,933,215.86
  5. Step 5: Solve for x
    x = 138,933,215.86/11,656.86
  6. Step 6: Final answer
    x = 11,918.58

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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.