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Finding the Fourth Proportional to 11,996.76, 17,958.24 and 7,827.80

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Solution

The fourth proportional to 11,996.76, 17,958.24 and 7,827.80 is: 11,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.76 : 17,958.24 = 7,827.80 : x
  2. Step 2: Convert to fraction form
    11,996.76/17,958.24 = 7,827.80/x
  3. Step 3: Cross multiply
    11,996.76x = 17,958.24 × 7,827.80
  4. Step 4: Simplify right side
    11,996.76x = 140,573,421.28
  5. Step 5: Solve for x
    x = 140,573,421.28/11,996.76
  6. Step 6: Final answer
    x = 11,717.62

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1.5x scale

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.