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Finding the Fourth Proportional to 20,673.83, 30,992.53 and 8,202.61

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Solution

The fourth proportional to 20,673.83, 30,992.53 and 8,202.61 is: 12,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673.83 : 30,992.53 = 8,202.61 : x
  2. Step 2: Convert to fraction form
    20,673.83/30,992.53 = 8,202.61/x
  3. Step 3: Cross multiply
    20,673.83x = 30,992.53 × 8,202.61
  4. Step 4: Simplify right side
    20,673.83x = 254,219,636.50
  5. Step 5: Solve for x
    x = 254,219,636.50/20,673.83
  6. Step 6: Final answer
    x = 12,296.69

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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.