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Finding the Fourth Proportional to 3,163.67, 4,366.02 and 1,905.12

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Solution

The fourth proportional to 3,163.67, 4,366.02 and 1,905.12 is: 2,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.67 : 4,366.02 = 1,905.12 : x
  2. Step 2: Convert to fraction form
    3,163.67/4,366.02 = 1,905.12/x
  3. Step 3: Cross multiply
    3,163.67x = 4,366.02 × 1,905.12
  4. Step 4: Simplify right side
    3,163.67x = 8,317,760.67
  5. Step 5: Solve for x
    x = 8,317,760.67/3,163.67
  6. Step 6: Final answer
    x = 2,629.15

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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.