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Finding the Fourth Proportional to 21,729, 29,986.38 and 11,793

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Solution

The fourth proportional to 21,729, 29,986.38 and 11,793 is: 16,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,729 : 29,986.38 = 11,793 : x
  2. Step 2: Convert to fraction form
    21,729/29,986.38 = 11,793/x
  3. Step 3: Cross multiply
    21,729x = 29,986.38 × 11,793
  4. Step 4: Simplify right side
    21,729x = 353,629,379.34
  5. Step 5: Solve for x
    x = 353,629,379.34/21,729
  6. Step 6: Final answer
    x = 16,274.54

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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.