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Finding the Fourth Proportional to 21,797, 30,079.86 and 11,861

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Solution

The fourth proportional to 21,797, 30,079.86 and 11,861 is: 16,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797 : 30,079.86 = 11,861 : x
  2. Step 2: Convert to fraction form
    21,797/30,079.86 = 11,861/x
  3. Step 3: Cross multiply
    21,797x = 30,079.86 × 11,861
  4. Step 4: Simplify right side
    21,797x = 356,777,219.46
  5. Step 5: Solve for x
    x = 356,777,219.46/21,797
  6. Step 6: Final answer
    x = 16,368.18

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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.