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Finding the Fourth Proportional to 15,491.07, 23,211 and 8,084.43

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Solution

The fourth proportional to 15,491.07, 23,211 and 8,084.43 is: 12,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491.07 : 23,211 = 8,084.43 : x
  2. Step 2: Convert to fraction form
    15,491.07/23,211 = 8,084.43/x
  3. Step 3: Cross multiply
    15,491.07x = 23,211 × 8,084.43
  4. Step 4: Simplify right side
    15,491.07x = 187,647,704.73
  5. Step 5: Solve for x
    x = 187,647,704.73/15,491.07
  6. Step 6: Final answer
    x = 12,113.28

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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.