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Finding the Fourth Proportional to 18,414, 27,621 and 6,102

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Solution

The fourth proportional to 18,414, 27,621 and 6,102 is: 9,153

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414 : 27,621 = 6,102 : x
  2. Step 2: Convert to fraction form
    18,414/27,621 = 6,102/x
  3. Step 3: Cross multiply
    18,414x = 27,621 × 6,102
  4. Step 4: Simplify right side
    18,414x = 168,543,342
  5. Step 5: Solve for x
    x = 168,543,342/18,414
  6. Step 6: Final answer
    x = 9,153

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.