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Finding the Fourth Proportional to 13,674.44, 18,867.41 and 7,706.11

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Solution

The fourth proportional to 13,674.44, 18,867.41 and 7,706.11 is: 10,632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.44 : 18,867.41 = 7,706.11 : x
  2. Step 2: Convert to fraction form
    13,674.44/18,867.41 = 7,706.11/x
  3. Step 3: Cross multiply
    13,674.44x = 18,867.41 × 7,706.11
  4. Step 4: Simplify right side
    13,674.44x = 145,394,336.88
  5. Step 5: Solve for x
    x = 145,394,336.88/13,674.44
  6. Step 6: Final answer
    x = 10,632.56

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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.