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Finding the Fourth Proportional to 18,007.25, 27,007.74 and 8,144.24

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Solution

The fourth proportional to 18,007.25, 27,007.74 and 8,144.24 is: 12,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,007.25 : 27,007.74 = 8,144.24 : x
  2. Step 2: Convert to fraction form
    18,007.25/27,007.74 = 8,144.24/x
  3. Step 3: Cross multiply
    18,007.25x = 27,007.74 × 8,144.24
  4. Step 4: Simplify right side
    18,007.25x = 219,957,381.38
  5. Step 5: Solve for x
    x = 219,957,381.38/18,007.25
  6. Step 6: Final answer
    x = 12,214.94

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1.5x scale

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.