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Finding the Fourth Proportional to 20,443.20, 30,664.80 and 20,297.40

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Solution

The fourth proportional to 20,443.20, 30,664.80 and 20,297.40 is: 30,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.20 : 30,664.80 = 20,297.40 : x
  2. Step 2: Convert to fraction form
    20,443.20/30,664.80 = 20,297.40/x
  3. Step 3: Cross multiply
    20,443.20x = 30,664.80 × 20,297.40
  4. Step 4: Simplify right side
    20,443.20x = 622,415,711.52
  5. Step 5: Solve for x
    x = 622,415,711.52/20,443.20
  6. Step 6: Final answer
    x = 30,446.10

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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.