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Finding the Fourth Proportional to 13,601.90, 18,772.99 and 7,940

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Solution

The fourth proportional to 13,601.90, 18,772.99 and 7,940 is: 10,958.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.90 : 18,772.99 = 7,940 : x
  2. Step 2: Convert to fraction form
    13,601.90/18,772.99 = 7,940/x
  3. Step 3: Cross multiply
    13,601.90x = 18,772.99 × 7,940
  4. Step 4: Simplify right side
    13,601.90x = 149,057,540.60
  5. Step 5: Solve for x
    x = 149,057,540.60/13,601.90
  6. Step 6: Final answer
    x = 10,958.58

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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.