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Finding the Fourth Proportional to 3,163.41, 4,742.54 and 2,817.41

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Solution

The fourth proportional to 3,163.41, 4,742.54 and 2,817.41 is: 4,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.41 : 4,742.54 = 2,817.41 : x
  2. Step 2: Convert to fraction form
    3,163.41/4,742.54 = 2,817.41/x
  3. Step 3: Cross multiply
    3,163.41x = 4,742.54 × 2,817.41
  4. Step 4: Simplify right side
    3,163.41x = 13,361,641.82
  5. Step 5: Solve for x
    x = 13,361,641.82/3,163.41
  6. Step 6: Final answer
    x = 4,223.81

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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.