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Finding the Fourth Proportional to 11,887, 16,404.06 and 6,919

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Solution

The fourth proportional to 11,887, 16,404.06 and 6,919 is: 9,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887 : 16,404.06 = 6,919 : x
  2. Step 2: Convert to fraction form
    11,887/16,404.06 = 6,919/x
  3. Step 3: Cross multiply
    11,887x = 16,404.06 × 6,919
  4. Step 4: Simplify right side
    11,887x = 113,499,691.14
  5. Step 5: Solve for x
    x = 113,499,691.14/11,887
  6. Step 6: Final answer
    x = 9,548.22

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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.