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Finding the Fourth Proportional to 11,714.90, 16,171.80 and 8,882.60

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Solution

The fourth proportional to 11,714.90, 16,171.80 and 8,882.60 is: 12,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.90 : 16,171.80 = 8,882.60 : x
  2. Step 2: Convert to fraction form
    11,714.90/16,171.80 = 8,882.60/x
  3. Step 3: Cross multiply
    11,714.90x = 16,171.80 × 8,882.60
  4. Step 4: Simplify right side
    11,714.90x = 143,647,630.68
  5. Step 5: Solve for x
    x = 143,647,630.68/11,714.90
  6. Step 6: Final answer
    x = 12,261.96

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1.5x scale

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.