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Finding the Fourth Proportional to 11,714.10, 17,571.15 and 8,447.91

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Solution

The fourth proportional to 11,714.10, 17,571.15 and 8,447.91 is: 12,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.10 : 17,571.15 = 8,447.91 : x
  2. Step 2: Convert to fraction form
    11,714.10/17,571.15 = 8,447.91/x
  3. Step 3: Cross multiply
    11,714.10x = 17,571.15 × 8,447.91
  4. Step 4: Simplify right side
    11,714.10x = 148,439,493.80
  5. Step 5: Solve for x
    x = 148,439,493.80/11,714.10
  6. Step 6: Final answer
    x = 12,671.87

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1.5x scale

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.