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Finding the Fourth Proportional to 20,671.83, 30,989.53 and 8,200.61

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Solution

The fourth proportional to 20,671.83, 30,989.53 and 8,200.61 is: 12,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.83 : 30,989.53 = 8,200.61 : x
  2. Step 2: Convert to fraction form
    20,671.83/30,989.53 = 8,200.61/x
  3. Step 3: Cross multiply
    20,671.83x = 30,989.53 × 8,200.61
  4. Step 4: Simplify right side
    20,671.83x = 254,132,972.14
  5. Step 5: Solve for x
    x = 254,132,972.14/20,671.83
  6. Step 6: Final answer
    x = 12,293.69

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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.