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Finding the Fourth Proportional to 3,936.31, 5,904.47 and 1,627.87

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Solution

The fourth proportional to 3,936.31, 5,904.47 and 1,627.87 is: 2,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.31 : 5,904.47 = 1,627.87 : x
  2. Step 2: Convert to fraction form
    3,936.31/5,904.47 = 1,627.87/x
  3. Step 3: Cross multiply
    3,936.31x = 5,904.47 × 1,627.87
  4. Step 4: Simplify right side
    3,936.31x = 9,611,709.58
  5. Step 5: Solve for x
    x = 9,611,709.58/3,936.31
  6. Step 6: Final answer
    x = 2,441.81

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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.