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Finding the Fourth Proportional to 21,892, 30,210.96 and 11,956

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Solution

The fourth proportional to 21,892, 30,210.96 and 11,956 is: 16,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892 : 30,210.96 = 11,956 : x
  2. Step 2: Convert to fraction form
    21,892/30,210.96 = 11,956/x
  3. Step 3: Cross multiply
    21,892x = 30,210.96 × 11,956
  4. Step 4: Simplify right side
    21,892x = 361,202,237.76
  5. Step 5: Solve for x
    x = 361,202,237.76/21,892
  6. Step 6: Final answer
    x = 16,499.28

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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.