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Finding the Fourth Proportional to 3,886.25, 5,829.17 and 2,134.62

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Solution

The fourth proportional to 3,886.25, 5,829.17 and 2,134.62 is: 3,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.25 : 5,829.17 = 2,134.62 : x
  2. Step 2: Convert to fraction form
    3,886.25/5,829.17 = 2,134.62/x
  3. Step 3: Cross multiply
    3,886.25x = 5,829.17 × 2,134.62
  4. Step 4: Simplify right side
    3,886.25x = 12,443,052.19
  5. Step 5: Solve for x
    x = 12,443,052.19/3,886.25
  6. Step 6: Final answer
    x = 3,201.82

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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.