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Finding the Fourth Proportional to 11,727, 17,580.60 and 8,020.14

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Solution

The fourth proportional to 11,727, 17,580.60 and 8,020.14 is: 12,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727 : 17,580.60 = 8,020.14 : x
  2. Step 2: Convert to fraction form
    11,727/17,580.60 = 8,020.14/x
  3. Step 3: Cross multiply
    11,727x = 17,580.60 × 8,020.14
  4. Step 4: Simplify right side
    11,727x = 140,998,873.28
  5. Step 5: Solve for x
    x = 140,998,873.28/11,727
  6. Step 6: Final answer
    x = 12,023.44

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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.