Home / 10,874.97-16,286.40-9,306

Finding the Fourth Proportional to 10,874.97, 16,286.40 and 9,306

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Solution

The fourth proportional to 10,874.97, 16,286.40 and 9,306 is: 13,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.97 : 16,286.40 = 9,306 : x
  2. Step 2: Convert to fraction form
    10,874.97/16,286.40 = 9,306/x
  3. Step 3: Cross multiply
    10,874.97x = 16,286.40 × 9,306
  4. Step 4: Simplify right side
    10,874.97x = 151,561,238.40
  5. Step 5: Solve for x
    x = 151,561,238.40/10,874.97
  6. Step 6: Final answer
    x = 13,936.70

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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.