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Finding the Fourth Proportional to 22,100, 30,498 and 12,164

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Solution

The fourth proportional to 22,100, 30,498 and 12,164 is: 16,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,100 : 30,498 = 12,164 : x
  2. Step 2: Convert to fraction form
    22,100/30,498 = 12,164/x
  3. Step 3: Cross multiply
    22,100x = 30,498 × 12,164
  4. Step 4: Simplify right side
    22,100x = 370,977,672
  5. Step 5: Solve for x
    x = 370,977,672/22,100
  6. Step 6: Final answer
    x = 16,786.32

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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.