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Finding the Fourth Proportional to 12,171.44, 16,796.88 and 7,138.88

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Solution

The fourth proportional to 12,171.44, 16,796.88 and 7,138.88 is: 9,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.44 : 16,796.88 = 7,138.88 : x
  2. Step 2: Convert to fraction form
    12,171.44/16,796.88 = 7,138.88/x
  3. Step 3: Cross multiply
    12,171.44x = 16,796.88 × 7,138.88
  4. Step 4: Simplify right side
    12,171.44x = 119,910,910.69
  5. Step 5: Solve for x
    x = 119,910,910.69/12,171.44
  6. Step 6: Final answer
    x = 9,851.83

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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.