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Finding the Fourth Proportional to 2,163.56, 3,246.42 and 865.94

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Solution

The fourth proportional to 2,163.56, 3,246.42 and 865.94 is: 1,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.56 : 3,246.42 = 865.94 : x
  2. Step 2: Convert to fraction form
    2,163.56/3,246.42 = 865.94/x
  3. Step 3: Cross multiply
    2,163.56x = 3,246.42 × 865.94
  4. Step 4: Simplify right side
    2,163.56x = 2,811,204.93
  5. Step 5: Solve for x
    x = 2,811,204.93/2,163.56
  6. Step 6: Final answer
    x = 1,299.34

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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.