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Finding the Fourth Proportional to 14,680.71, 21,983.49 and 8,099.61

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Solution

The fourth proportional to 14,680.71, 21,983.49 and 8,099.61 is: 12,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680.71 : 21,983.49 = 8,099.61 : x
  2. Step 2: Convert to fraction form
    14,680.71/21,983.49 = 8,099.61/x
  3. Step 3: Cross multiply
    14,680.71x = 21,983.49 × 8,099.61
  4. Step 4: Simplify right side
    14,680.71x = 178,057,695.44
  5. Step 5: Solve for x
    x = 178,057,695.44/14,680.71
  6. Step 6: Final answer
    x = 12,128.68

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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.