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Finding the Fourth Proportional to 22,015, 30,380.72 and 12,079

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Solution

The fourth proportional to 22,015, 30,380.72 and 12,079 is: 16,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,015 : 30,380.72 = 12,079 : x
  2. Step 2: Convert to fraction form
    22,015/30,380.72 = 12,079/x
  3. Step 3: Cross multiply
    22,015x = 30,380.72 × 12,079
  4. Step 4: Simplify right side
    22,015x = 366,968,716.88
  5. Step 5: Solve for x
    x = 366,968,716.88/22,015
  6. Step 6: Final answer
    x = 16,669.03

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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.