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Finding the Fourth Proportional to 11,236.50, 16,857.45 and 4,311

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Solution

The fourth proportional to 11,236.50, 16,857.45 and 4,311 is: 6,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,236.50 : 16,857.45 = 4,311 : x
  2. Step 2: Convert to fraction form
    11,236.50/16,857.45 = 4,311/x
  3. Step 3: Cross multiply
    11,236.50x = 16,857.45 × 4,311
  4. Step 4: Simplify right side
    11,236.50x = 72,672,466.95
  5. Step 5: Solve for x
    x = 72,672,466.95/11,236.50
  6. Step 6: Final answer
    x = 6,467.54

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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.