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Finding the Fourth Proportional to 21,802, 30,079 and 14,252.67

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Solution

The fourth proportional to 21,802, 30,079 and 14,252.67 is: 19,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802 : 30,079 = 14,252.67 : x
  2. Step 2: Convert to fraction form
    21,802/30,079 = 14,252.67/x
  3. Step 3: Cross multiply
    21,802x = 30,079 × 14,252.67
  4. Step 4: Simplify right side
    21,802x = 428,706,060.93
  5. Step 5: Solve for x
    x = 428,706,060.93/21,802
  6. Step 6: Final answer
    x = 19,663.61

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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.