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Finding the Fourth Proportional to 11,257, 16,893.18 and 3,961

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Solution

The fourth proportional to 11,257, 16,893.18 and 3,961 is: 5,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257 : 16,893.18 = 3,961 : x
  2. Step 2: Convert to fraction form
    11,257/16,893.18 = 3,961/x
  3. Step 3: Cross multiply
    11,257x = 16,893.18 × 3,961
  4. Step 4: Simplify right side
    11,257x = 66,913,885.98
  5. Step 5: Solve for x
    x = 66,913,885.98/11,257
  6. Step 6: Final answer
    x = 5,944.20

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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.