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Finding the Fourth Proportional to 10,857.69, 16,286.57 and 2,649.69

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Solution

The fourth proportional to 10,857.69, 16,286.57 and 2,649.69 is: 3,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.69 : 16,286.57 = 2,649.69 : x
  2. Step 2: Convert to fraction form
    10,857.69/16,286.57 = 2,649.69/x
  3. Step 3: Cross multiply
    10,857.69x = 16,286.57 × 2,649.69
  4. Step 4: Simplify right side
    10,857.69x = 43,154,361.66
  5. Step 5: Solve for x
    x = 43,154,361.66/10,857.69
  6. Step 6: Final answer
    x = 3,974.54

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Similar ratio
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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.