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Finding the Fourth Proportional to 20,542.10, 30,813.14 and 5,753.21

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Solution

The fourth proportional to 20,542.10, 30,813.14 and 5,753.21 is: 8,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.10 : 30,813.14 = 5,753.21 : x
  2. Step 2: Convert to fraction form
    20,542.10/30,813.14 = 5,753.21/x
  3. Step 3: Cross multiply
    20,542.10x = 30,813.14 × 5,753.21
  4. Step 4: Simplify right side
    20,542.10x = 177,274,325.50
  5. Step 5: Solve for x
    x = 177,274,325.50/20,542.10
  6. Step 6: Final answer
    x = 8,629.81

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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.