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Finding the Fourth Proportional to 18,197.50, 27,267 and 15,281.50

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Solution

The fourth proportional to 18,197.50, 27,267 and 15,281.50 is: 22,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,197.50 : 27,267 = 15,281.50 : x
  2. Step 2: Convert to fraction form
    18,197.50/27,267 = 15,281.50/x
  3. Step 3: Cross multiply
    18,197.50x = 27,267 × 15,281.50
  4. Step 4: Simplify right side
    18,197.50x = 416,680,660.50
  5. Step 5: Solve for x
    x = 416,680,660.50/18,197.50
  6. Step 6: Final answer
    x = 22,897.69

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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.