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Finding the Fourth Proportional to 9,119.80, 13,680.50 and 6,684.92

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Solution

The fourth proportional to 9,119.80, 13,680.50 and 6,684.92 is: 10,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.80 : 13,680.50 = 6,684.92 : x
  2. Step 2: Convert to fraction form
    9,119.80/13,680.50 = 6,684.92/x
  3. Step 3: Cross multiply
    9,119.80x = 13,680.50 × 6,684.92
  4. Step 4: Simplify right side
    9,119.80x = 91,453,048.06
  5. Step 5: Solve for x
    x = 91,453,048.06/9,119.80
  6. Step 6: Final answer
    x = 10,027.97

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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.