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Finding the Fourth Proportional to 11,965.22, 17,957.04 and 8,447.69

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Solution

The fourth proportional to 11,965.22, 17,957.04 and 8,447.69 is: 12,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.22 : 17,957.04 = 8,447.69 : x
  2. Step 2: Convert to fraction form
    11,965.22/17,957.04 = 8,447.69/x
  3. Step 3: Cross multiply
    11,965.22x = 17,957.04 × 8,447.69
  4. Step 4: Simplify right side
    11,965.22x = 151,695,375.21
  5. Step 5: Solve for x
    x = 151,695,375.21/11,965.22
  6. Step 6: Final answer
    x = 12,678.03

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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.