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Finding the Fourth Proportional to 11,914, 16,442.24 and 6,609.84

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Solution

The fourth proportional to 11,914, 16,442.24 and 6,609.84 is: 9,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914 : 16,442.24 = 6,609.84 : x
  2. Step 2: Convert to fraction form
    11,914/16,442.24 = 6,609.84/x
  3. Step 3: Cross multiply
    11,914x = 16,442.24 × 6,609.84
  4. Step 4: Simplify right side
    11,914x = 108,680,575.64
  5. Step 5: Solve for x
    x = 108,680,575.64/11,914
  6. Step 6: Final answer
    x = 9,122.09

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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.