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Finding the Fourth Proportional to 5,171.73, 7,137 and 2,813.96

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Solution

The fourth proportional to 5,171.73, 7,137 and 2,813.96 is: 3,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.73 : 7,137 = 2,813.96 : x
  2. Step 2: Convert to fraction form
    5,171.73/7,137 = 2,813.96/x
  3. Step 3: Cross multiply
    5,171.73x = 7,137 × 2,813.96
  4. Step 4: Simplify right side
    5,171.73x = 20,083,196.84
  5. Step 5: Solve for x
    x = 20,083,196.84/5,171.73
  6. Step 6: Final answer
    x = 3,883.26

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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.