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Finding the Fourth Proportional to 20,662.70, 30,976.63 and 8,967.11

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Solution

The fourth proportional to 20,662.70, 30,976.63 and 8,967.11 is: 13,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,662.70 : 30,976.63 = 8,967.11 : x
  2. Step 2: Convert to fraction form
    20,662.70/30,976.63 = 8,967.11/x
  3. Step 3: Cross multiply
    20,662.70x = 30,976.63 × 8,967.11
  4. Step 4: Simplify right side
    20,662.70x = 277,770,848.64
  5. Step 5: Solve for x
    x = 277,770,848.64/20,662.70
  6. Step 6: Final answer
    x = 13,443.11

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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.