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Finding the Fourth Proportional to 11,936, 16,471.68 and 8,216.48

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Solution

The fourth proportional to 11,936, 16,471.68 and 8,216.48 is: 11,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936 : 16,471.68 = 8,216.48 : x
  2. Step 2: Convert to fraction form
    11,936/16,471.68 = 8,216.48/x
  3. Step 3: Cross multiply
    11,936x = 16,471.68 × 8,216.48
  4. Step 4: Simplify right side
    11,936x = 135,339,229.29
  5. Step 5: Solve for x
    x = 135,339,229.29/11,936
  6. Step 6: Final answer
    x = 11,338.74

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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.