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Finding the Fourth Proportional to 36,413, 54,619.50 and 20,819.69

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Solution

The fourth proportional to 36,413, 54,619.50 and 20,819.69 is: 31,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,413 : 54,619.50 = 20,819.69 : x
  2. Step 2: Convert to fraction form
    36,413/54,619.50 = 20,819.69/x
  3. Step 3: Cross multiply
    36,413x = 54,619.50 × 20,819.69
  4. Step 4: Simplify right side
    36,413x = 1,137,161,057.96
  5. Step 5: Solve for x
    x = 1,137,161,057.96/36,413
  6. Step 6: Final answer
    x = 31,229.54

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Similar ratio
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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.