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Finding the Fourth Proportional to 18,267, 27,400.95 and 5,120.40

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Solution

The fourth proportional to 18,267, 27,400.95 and 5,120.40 is: 7,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,267 : 27,400.95 = 5,120.40 : x
  2. Step 2: Convert to fraction form
    18,267/27,400.95 = 5,120.40/x
  3. Step 3: Cross multiply
    18,267x = 27,400.95 × 5,120.40
  4. Step 4: Simplify right side
    18,267x = 140,303,824.38
  5. Step 5: Solve for x
    x = 140,303,824.38/18,267
  6. Step 6: Final answer
    x = 7,680.73

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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.