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Finding the Fourth Proportional to 20,138.99, 30,208.49 and 5,348.52

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Solution

The fourth proportional to 20,138.99, 30,208.49 and 5,348.52 is: 8,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.99 : 30,208.49 = 5,348.52 : x
  2. Step 2: Convert to fraction form
    20,138.99/30,208.49 = 5,348.52/x
  3. Step 3: Cross multiply
    20,138.99x = 30,208.49 × 5,348.52
  4. Step 4: Simplify right side
    20,138.99x = 161,570,712.93
  5. Step 5: Solve for x
    x = 161,570,712.93/20,138.99
  6. Step 6: Final answer
    x = 8,022.78

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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.