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Finding the Fourth Proportional to 11,855, 16,361.34 and 6,887

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Solution

The fourth proportional to 11,855, 16,361.34 and 6,887 is: 9,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855 : 16,361.34 = 6,887 : x
  2. Step 2: Convert to fraction form
    11,855/16,361.34 = 6,887/x
  3. Step 3: Cross multiply
    11,855x = 16,361.34 × 6,887
  4. Step 4: Simplify right side
    11,855x = 112,680,548.58
  5. Step 5: Solve for x
    x = 112,680,548.58/11,855
  6. Step 6: Final answer
    x = 9,504.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.