Home / 3,214.68-4,433.72-2,096

Finding the Fourth Proportional to 3,214.68, 4,433.72 and 2,096

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Solution

The fourth proportional to 3,214.68, 4,433.72 and 2,096 is: 2,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.68 : 4,433.72 = 2,096 : x
  2. Step 2: Convert to fraction form
    3,214.68/4,433.72 = 2,096/x
  3. Step 3: Cross multiply
    3,214.68x = 4,433.72 × 2,096
  4. Step 4: Simplify right side
    3,214.68x = 9,293,077.12
  5. Step 5: Solve for x
    x = 9,293,077.12/3,214.68
  6. Step 6: Final answer
    x = 2,890.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.