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Finding the Fourth Proportional to 27,705, 41,557.50 and 12,122.64

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Solution

The fourth proportional to 27,705, 41,557.50 and 12,122.64 is: 18,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705 : 41,557.50 = 12,122.64 : x
  2. Step 2: Convert to fraction form
    27,705/41,557.50 = 12,122.64/x
  3. Step 3: Cross multiply
    27,705x = 41,557.50 × 12,122.64
  4. Step 4: Simplify right side
    27,705x = 503,786,611.80
  5. Step 5: Solve for x
    x = 503,786,611.80/27,705
  6. Step 6: Final answer
    x = 18,183.96

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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.