Home / 5,102.59-7,644.82-2,134.49

Finding the Fourth Proportional to 5,102.59, 7,644.82 and 2,134.49

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Solution

The fourth proportional to 5,102.59, 7,644.82 and 2,134.49 is: 3,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.59 : 7,644.82 = 2,134.49 : x
  2. Step 2: Convert to fraction form
    5,102.59/7,644.82 = 2,134.49/x
  3. Step 3: Cross multiply
    5,102.59x = 7,644.82 × 2,134.49
  4. Step 4: Simplify right side
    5,102.59x = 16,317,791.84
  5. Step 5: Solve for x
    x = 16,317,791.84/5,102.59
  6. Step 6: Final answer
    x = 3,197.94

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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.