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Finding the Fourth Proportional to 18,340, 27,510 and 10,132

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Solution

The fourth proportional to 18,340, 27,510 and 10,132 is: 15,198

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,340 : 27,510 = 10,132 : x
  2. Step 2: Convert to fraction form
    18,340/27,510 = 10,132/x
  3. Step 3: Cross multiply
    18,340x = 27,510 × 10,132
  4. Step 4: Simplify right side
    18,340x = 278,731,320
  5. Step 5: Solve for x
    x = 278,731,320/18,340
  6. Step 6: Final answer
    x = 15,198

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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.