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Finding the Fourth Proportional to 20,630.93, 30,956.62 and 8,159.90

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Solution

The fourth proportional to 20,630.93, 30,956.62 and 8,159.90 is: 12,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,630.93 : 30,956.62 = 8,159.90 : x
  2. Step 2: Convert to fraction form
    20,630.93/30,956.62 = 8,159.90/x
  3. Step 3: Cross multiply
    20,630.93x = 30,956.62 × 8,159.90
  4. Step 4: Simplify right side
    20,630.93x = 252,602,923.54
  5. Step 5: Solve for x
    x = 252,602,923.54/20,630.93
  6. Step 6: Final answer
    x = 12,243.89

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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.