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Finding the Fourth Proportional to 12,939.44, 17,855.76 and 8,153.84

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Solution

The fourth proportional to 12,939.44, 17,855.76 and 8,153.84 is: 11,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.44 : 17,855.76 = 8,153.84 : x
  2. Step 2: Convert to fraction form
    12,939.44/17,855.76 = 8,153.84/x
  3. Step 3: Cross multiply
    12,939.44x = 17,855.76 × 8,153.84
  4. Step 4: Simplify right side
    12,939.44x = 145,593,010.12
  5. Step 5: Solve for x
    x = 145,593,010.12/12,939.44
  6. Step 6: Final answer
    x = 11,251.88

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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.