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Finding the Fourth Proportional to 10,936, 16,404 and 3,144.88

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Solution

The fourth proportional to 10,936, 16,404 and 3,144.88 is: 4,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,936 : 16,404 = 3,144.88 : x
  2. Step 2: Convert to fraction form
    10,936/16,404 = 3,144.88/x
  3. Step 3: Cross multiply
    10,936x = 16,404 × 3,144.88
  4. Step 4: Simplify right side
    10,936x = 51,588,611.52
  5. Step 5: Solve for x
    x = 51,588,611.52/10,936
  6. Step 6: Final answer
    x = 4,717.32

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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.