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Finding the Fourth Proportional to 12,769.92, 19,131.84 and 10,687.68

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Solution

The fourth proportional to 12,769.92, 19,131.84 and 10,687.68 is: 16,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.92 : 19,131.84 = 10,687.68 : x
  2. Step 2: Convert to fraction form
    12,769.92/19,131.84 = 10,687.68/x
  3. Step 3: Cross multiply
    12,769.92x = 19,131.84 × 10,687.68
  4. Step 4: Simplify right side
    12,769.92x = 204,474,983.73
  5. Step 5: Solve for x
    x = 204,474,983.73/12,769.92
  6. Step 6: Final answer
    x = 16,012.24

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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.