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Finding the Fourth Proportional to 21,817, 30,107.46 and 11,881

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Solution

The fourth proportional to 21,817, 30,107.46 and 11,881 is: 16,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817 : 30,107.46 = 11,881 : x
  2. Step 2: Convert to fraction form
    21,817/30,107.46 = 11,881/x
  3. Step 3: Cross multiply
    21,817x = 30,107.46 × 11,881
  4. Step 4: Simplify right side
    21,817x = 357,706,732.26
  5. Step 5: Solve for x
    x = 357,706,732.26/21,817
  6. Step 6: Final answer
    x = 16,395.78

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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.