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Finding the Fourth Proportional to 18,225, 27,367.88 and 16,861.16

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Solution

The fourth proportional to 18,225, 27,367.88 and 16,861.16 is: 25,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,225 : 27,367.88 = 16,861.16 : x
  2. Step 2: Convert to fraction form
    18,225/27,367.88 = 16,861.16/x
  3. Step 3: Cross multiply
    18,225x = 27,367.88 × 16,861.16
  4. Step 4: Simplify right side
    18,225x = 461,454,187.65
  5. Step 5: Solve for x
    x = 461,454,187.65/18,225
  6. Step 6: Final answer
    x = 25,319.85

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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.