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Finding the Fourth Proportional to 21,882, 30,197.34 and 11,946

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Solution

The fourth proportional to 21,882, 30,197.34 and 11,946 is: 16,485.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882 : 30,197.34 = 11,946 : x
  2. Step 2: Convert to fraction form
    21,882/30,197.34 = 11,946/x
  3. Step 3: Cross multiply
    21,882x = 30,197.34 × 11,946
  4. Step 4: Simplify right side
    21,882x = 360,737,423.64
  5. Step 5: Solve for x
    x = 360,737,423.64/21,882
  6. Step 6: Final answer
    x = 16,485.58

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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.