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Finding the Fourth Proportional to 18,098, 27,147 and 7,154

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Solution

The fourth proportional to 18,098, 27,147 and 7,154 is: 10,731

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098 : 27,147 = 7,154 : x
  2. Step 2: Convert to fraction form
    18,098/27,147 = 7,154/x
  3. Step 3: Cross multiply
    18,098x = 27,147 × 7,154
  4. Step 4: Simplify right side
    18,098x = 194,209,638
  5. Step 5: Solve for x
    x = 194,209,638/18,098
  6. Step 6: Final answer
    x = 10,731

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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.