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Finding the Fourth Proportional to 20,645.48, 30,947.04 and 8,160.44

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Solution

The fourth proportional to 20,645.48, 30,947.04 and 8,160.44 is: 12,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.48 : 30,947.04 = 8,160.44 : x
  2. Step 2: Convert to fraction form
    20,645.48/30,947.04 = 8,160.44/x
  3. Step 3: Cross multiply
    20,645.48x = 30,947.04 × 8,160.44
  4. Step 4: Simplify right side
    20,645.48x = 252,541,463.10
  5. Step 5: Solve for x
    x = 252,541,463.10/20,645.48
  6. Step 6: Final answer
    x = 12,232.29

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1.5x scale

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.