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Finding the Fourth Proportional to 14,198.20, 21,297.94 and 7,286.20

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Solution

The fourth proportional to 14,198.20, 21,297.94 and 7,286.20 is: 10,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.20 : 21,297.94 = 7,286.20 : x
  2. Step 2: Convert to fraction form
    14,198.20/21,297.94 = 7,286.20/x
  3. Step 3: Cross multiply
    14,198.20x = 21,297.94 × 7,286.20
  4. Step 4: Simplify right side
    14,198.20x = 155,181,050.43
  5. Step 5: Solve for x
    x = 155,181,050.43/14,198.20
  6. Step 6: Final answer
    x = 10,929.63

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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.