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Finding the Fourth Proportional to 21,892.50, 30,211.65 and 11,956.50

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Solution

The fourth proportional to 21,892.50, 30,211.65 and 11,956.50 is: 16,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.50 : 30,211.65 = 11,956.50 : x
  2. Step 2: Convert to fraction form
    21,892.50/30,211.65 = 11,956.50/x
  3. Step 3: Cross multiply
    21,892.50x = 30,211.65 × 11,956.50
  4. Step 4: Simplify right side
    21,892.50x = 361,225,593.23
  5. Step 5: Solve for x
    x = 361,225,593.23/21,892.50
  6. Step 6: Final answer
    x = 16,499.97

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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.