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Finding the Fourth Proportional to 11,881, 16,400.10 and 6,913

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Solution

The fourth proportional to 11,881, 16,400.10 and 6,913 is: 9,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881 : 16,400.10 = 6,913 : x
  2. Step 2: Convert to fraction form
    11,881/16,400.10 = 6,913/x
  3. Step 3: Cross multiply
    11,881x = 16,400.10 × 6,913
  4. Step 4: Simplify right side
    11,881x = 113,373,891.30
  5. Step 5: Solve for x
    x = 113,373,891.30/11,881
  6. Step 6: Final answer
    x = 9,542.45

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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.