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Finding the Fourth Proportional to 14,863.76, 20,512.22 and 8,150

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Solution

The fourth proportional to 14,863.76, 20,512.22 and 8,150 is: 11,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.76 : 20,512.22 = 8,150 : x
  2. Step 2: Convert to fraction form
    14,863.76/20,512.22 = 8,150/x
  3. Step 3: Cross multiply
    14,863.76x = 20,512.22 × 8,150
  4. Step 4: Simplify right side
    14,863.76x = 167,174,593
  5. Step 5: Solve for x
    x = 167,174,593/14,863.76
  6. Step 6: Final answer
    x = 11,247.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.