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Finding the Fourth Proportional to 20,221.20, 30,299.40 and 12,812.40

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Solution

The fourth proportional to 20,221.20, 30,299.40 and 12,812.40 is: 19,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.20 : 30,299.40 = 12,812.40 : x
  2. Step 2: Convert to fraction form
    20,221.20/30,299.40 = 12,812.40/x
  3. Step 3: Cross multiply
    20,221.20x = 30,299.40 × 12,812.40
  4. Step 4: Simplify right side
    20,221.20x = 388,208,032.56
  5. Step 5: Solve for x
    x = 388,208,032.56/20,221.20
  6. Step 6: Final answer
    x = 19,198.07

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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.