Home / 8,022-12,032.94-2,178.60

Finding the Fourth Proportional to 8,022, 12,032.94 and 2,178.60

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Solution

The fourth proportional to 8,022, 12,032.94 and 2,178.60 is: 3,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022 : 12,032.94 = 2,178.60 : x
  2. Step 2: Convert to fraction form
    8,022/12,032.94 = 2,178.60/x
  3. Step 3: Cross multiply
    8,022x = 12,032.94 × 2,178.60
  4. Step 4: Simplify right side
    8,022x = 26,214,963.08
  5. Step 5: Solve for x
    x = 26,214,963.08/8,022
  6. Step 6: Final answer
    x = 3,267.88

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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.