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Finding the Fourth Proportional to 11,673.21, 16,086 and 8,306.60

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Solution

The fourth proportional to 11,673.21, 16,086 and 8,306.60 is: 11,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.21 : 16,086 = 8,306.60 : x
  2. Step 2: Convert to fraction form
    11,673.21/16,086 = 8,306.60/x
  3. Step 3: Cross multiply
    11,673.21x = 16,086 × 8,306.60
  4. Step 4: Simplify right side
    11,673.21x = 133,619,967.60
  5. Step 5: Solve for x
    x = 133,619,967.60/11,673.21
  6. Step 6: Final answer
    x = 11,446.72

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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.