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Finding the Fourth Proportional to 11,227, 16,848.18 and 3,931

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Solution

The fourth proportional to 11,227, 16,848.18 and 3,931 is: 5,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227 : 16,848.18 = 3,931 : x
  2. Step 2: Convert to fraction form
    11,227/16,848.18 = 3,931/x
  3. Step 3: Cross multiply
    11,227x = 16,848.18 × 3,931
  4. Step 4: Simplify right side
    11,227x = 66,230,195.58
  5. Step 5: Solve for x
    x = 66,230,195.58/11,227
  6. Step 6: Final answer
    x = 5,899.19

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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.