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Finding the Fourth Proportional to 12,163.85, 16,786.28 and 7,382.42

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Solution

The fourth proportional to 12,163.85, 16,786.28 and 7,382.42 is: 10,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.85 : 16,786.28 = 7,382.42 : x
  2. Step 2: Convert to fraction form
    12,163.85/16,786.28 = 7,382.42/x
  3. Step 3: Cross multiply
    12,163.85x = 16,786.28 × 7,382.42
  4. Step 4: Simplify right side
    12,163.85x = 123,923,332.29
  5. Step 5: Solve for x
    x = 123,923,332.29/12,163.85
  6. Step 6: Final answer
    x = 10,187.84

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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.