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Finding the Fourth Proportional to 11,781.86, 17,669.03 and 3,882.90

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Solution

The fourth proportional to 11,781.86, 17,669.03 and 3,882.90 is: 5,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.86 : 17,669.03 = 3,882.90 : x
  2. Step 2: Convert to fraction form
    11,781.86/17,669.03 = 3,882.90/x
  3. Step 3: Cross multiply
    11,781.86x = 17,669.03 × 3,882.90
  4. Step 4: Simplify right side
    11,781.86x = 68,606,988.24
  5. Step 5: Solve for x
    x = 68,606,988.24/11,781.86
  6. Step 6: Final answer
    x = 5,823.11

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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.