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Finding the Fourth Proportional to 14,910, 20,575.84 and 8,286

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Solution

The fourth proportional to 14,910, 20,575.84 and 8,286 is: 11,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,910 : 20,575.84 = 8,286 : x
  2. Step 2: Convert to fraction form
    14,910/20,575.84 = 8,286/x
  3. Step 3: Cross multiply
    14,910x = 20,575.84 × 8,286
  4. Step 4: Simplify right side
    14,910x = 170,491,410.24
  5. Step 5: Solve for x
    x = 170,491,410.24/14,910
  6. Step 6: Final answer
    x = 11,434.70

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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.