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Finding the Fourth Proportional to 13,313, 19,958.22 and 8,917

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Solution

The fourth proportional to 13,313, 19,958.22 and 8,917 is: 13,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313 : 19,958.22 = 8,917 : x
  2. Step 2: Convert to fraction form
    13,313/19,958.22 = 8,917/x
  3. Step 3: Cross multiply
    13,313x = 19,958.22 × 8,917
  4. Step 4: Simplify right side
    13,313x = 177,967,447.74
  5. Step 5: Solve for x
    x = 177,967,447.74/13,313
  6. Step 6: Final answer
    x = 13,367.94

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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.