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Finding the Fourth Proportional to 11,213.60, 16,823.05 and 6,286.64

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Solution

The fourth proportional to 11,213.60, 16,823.05 and 6,286.64 is: 9,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.60 : 16,823.05 = 6,286.64 : x
  2. Step 2: Convert to fraction form
    11,213.60/16,823.05 = 6,286.64/x
  3. Step 3: Cross multiply
    11,213.60x = 16,823.05 × 6,286.64
  4. Step 4: Simplify right side
    11,213.60x = 105,760,485.39
  5. Step 5: Solve for x
    x = 105,760,485.39/11,213.60
  6. Step 6: Final answer
    x = 9,431.45

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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.