Home / 8,198.16-12,297.24-2,042.16

Finding the Fourth Proportional to 8,198.16, 12,297.24 and 2,042.16

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Solution

The fourth proportional to 8,198.16, 12,297.24 and 2,042.16 is: 3,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.16 : 12,297.24 = 2,042.16 : x
  2. Step 2: Convert to fraction form
    8,198.16/12,297.24 = 2,042.16/x
  3. Step 3: Cross multiply
    8,198.16x = 12,297.24 × 2,042.16
  4. Step 4: Simplify right side
    8,198.16x = 25,112,931.64
  5. Step 5: Solve for x
    x = 25,112,931.64/8,198.16
  6. Step 6: Final answer
    x = 3,063.24

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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.