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Finding the Fourth Proportional to 20,641.48, 30,941.04 and 8,156.44

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Solution

The fourth proportional to 20,641.48, 30,941.04 and 8,156.44 is: 12,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,641.48 : 30,941.04 = 8,156.44 : x
  2. Step 2: Convert to fraction form
    20,641.48/30,941.04 = 8,156.44/x
  3. Step 3: Cross multiply
    20,641.48x = 30,941.04 × 8,156.44
  4. Step 4: Simplify right side
    20,641.48x = 252,368,736.30
  5. Step 5: Solve for x
    x = 252,368,736.30/20,641.48
  6. Step 6: Final answer
    x = 12,226.29

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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.