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Finding the Fourth Proportional to 37,993.50, 57,006.95 and 20,219.97

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Solution

The fourth proportional to 37,993.50, 57,006.95 and 20,219.97 is: 30,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,993.50 : 57,006.95 = 20,219.97 : x
  2. Step 2: Convert to fraction form
    37,993.50/57,006.95 = 20,219.97/x
  3. Step 3: Cross multiply
    37,993.50x = 57,006.95 × 20,219.97
  4. Step 4: Simplify right side
    37,993.50x = 1,152,678,717.69
  5. Step 5: Solve for x
    x = 1,152,678,717.69/37,993.50
  6. Step 6: Final answer
    x = 30,338.84

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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.