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Finding the Fourth Proportional to 21,738, 29,998.44 and 11,802

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Solution

The fourth proportional to 21,738, 29,998.44 and 11,802 is: 16,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738 : 29,998.44 = 11,802 : x
  2. Step 2: Convert to fraction form
    21,738/29,998.44 = 11,802/x
  3. Step 3: Cross multiply
    21,738x = 29,998.44 × 11,802
  4. Step 4: Simplify right side
    21,738x = 354,041,588.88
  5. Step 5: Solve for x
    x = 354,041,588.88/21,738
  6. Step 6: Final answer
    x = 16,286.76

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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.