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Finding the Fourth Proportional to 20,470.86, 30,706.11 and 6,619.86

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Solution

The fourth proportional to 20,470.86, 30,706.11 and 6,619.86 is: 9,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.86 : 30,706.11 = 6,619.86 : x
  2. Step 2: Convert to fraction form
    20,470.86/30,706.11 = 6,619.86/x
  3. Step 3: Cross multiply
    20,470.86x = 30,706.11 × 6,619.86
  4. Step 4: Simplify right side
    20,470.86x = 203,270,149.34
  5. Step 5: Solve for x
    x = 203,270,149.34/20,470.86
  6. Step 6: Final answer
    x = 9,929.73

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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.