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Finding the Fourth Proportional to 11,921.86, 17,871.85 and 6,071.64

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Solution

The fourth proportional to 11,921.86, 17,871.85 and 6,071.64 is: 9,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.86 : 17,871.85 = 6,071.64 : x
  2. Step 2: Convert to fraction form
    11,921.86/17,871.85 = 6,071.64/x
  3. Step 3: Cross multiply
    11,921.86x = 17,871.85 × 6,071.64
  4. Step 4: Simplify right side
    11,921.86x = 108,511,439.33
  5. Step 5: Solve for x
    x = 108,511,439.33/11,921.86
  6. Step 6: Final answer
    x = 9,101.89

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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.