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Finding the Fourth Proportional to 18,675, 25,771.50 and 11,223

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Solution

The fourth proportional to 18,675, 25,771.50 and 11,223 is: 15,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,675 : 25,771.50 = 11,223 : x
  2. Step 2: Convert to fraction form
    18,675/25,771.50 = 11,223/x
  3. Step 3: Cross multiply
    18,675x = 25,771.50 × 11,223
  4. Step 4: Simplify right side
    18,675x = 289,233,544.50
  5. Step 5: Solve for x
    x = 289,233,544.50/18,675
  6. Step 6: Final answer
    x = 15,487.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.