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Finding the Fourth Proportional to 27,611, 41,400.71 and 12,812.30

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Solution

The fourth proportional to 27,611, 41,400.71 and 12,812.30 is: 19,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,611 : 41,400.71 = 12,812.30 : x
  2. Step 2: Convert to fraction form
    27,611/41,400.71 = 12,812.30/x
  3. Step 3: Cross multiply
    27,611x = 41,400.71 × 12,812.30
  4. Step 4: Simplify right side
    27,611x = 530,438,252.67
  5. Step 5: Solve for x
    x = 530,438,252.67/27,611
  6. Step 6: Final answer
    x = 19,211.12

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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.