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Finding the Fourth Proportional to 10,857.94, 16,286.94 and 2,649.94

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Solution

The fourth proportional to 10,857.94, 16,286.94 and 2,649.94 is: 3,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.94 : 16,286.94 = 2,649.94 : x
  2. Step 2: Convert to fraction form
    10,857.94/16,286.94 = 2,649.94/x
  3. Step 3: Cross multiply
    10,857.94x = 16,286.94 × 2,649.94
  4. Step 4: Simplify right side
    10,857.94x = 43,159,373.07
  5. Step 5: Solve for x
    x = 43,159,373.07/10,857.94
  6. Step 6: Final answer
    x = 3,974.91

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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.