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Finding the Fourth Proportional to 36,825.36, 50,820 and 20,908.80

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Solution

The fourth proportional to 36,825.36, 50,820 and 20,908.80 is: 28,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,825.36 : 50,820 = 20,908.80 : x
  2. Step 2: Convert to fraction form
    36,825.36/50,820 = 20,908.80/x
  3. Step 3: Cross multiply
    36,825.36x = 50,820 × 20,908.80
  4. Step 4: Simplify right side
    36,825.36x = 1,062,585,216
  5. Step 5: Solve for x
    x = 1,062,585,216/36,825.36
  6. Step 6: Final answer
    x = 28,854.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.