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Finding the Fourth Proportional to 36,406.80, 50,243.76 and 20,489.76

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Solution

The fourth proportional to 36,406.80, 50,243.76 and 20,489.76 is: 28,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,406.80 : 50,243.76 = 20,489.76 : x
  2. Step 2: Convert to fraction form
    36,406.80/50,243.76 = 20,489.76/x
  3. Step 3: Cross multiply
    36,406.80x = 50,243.76 × 20,489.76
  4. Step 4: Simplify right side
    36,406.80x = 1,029,482,583.90
  5. Step 5: Solve for x
    x = 1,029,482,583.90/36,406.80
  6. Step 6: Final answer
    x = 28,277.21

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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.