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Finding the Fourth Proportional to 21,727, 29,983.62 and 11,791

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Solution

The fourth proportional to 21,727, 29,983.62 and 11,791 is: 16,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,727 : 29,983.62 = 11,791 : x
  2. Step 2: Convert to fraction form
    21,727/29,983.62 = 11,791/x
  3. Step 3: Cross multiply
    21,727x = 29,983.62 × 11,791
  4. Step 4: Simplify right side
    21,727x = 353,536,863.42
  5. Step 5: Solve for x
    x = 353,536,863.42/21,727
  6. Step 6: Final answer
    x = 16,271.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.