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Finding the Fourth Proportional to 3,471.73, 5,203.95 and 2,155.48

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Solution

The fourth proportional to 3,471.73, 5,203.95 and 2,155.48 is: 3,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.73 : 5,203.95 = 2,155.48 : x
  2. Step 2: Convert to fraction form
    3,471.73/5,203.95 = 2,155.48/x
  3. Step 3: Cross multiply
    3,471.73x = 5,203.95 × 2,155.48
  4. Step 4: Simplify right side
    3,471.73x = 11,217,010.15
  5. Step 5: Solve for x
    x = 11,217,010.15/3,471.73
  6. Step 6: Final answer
    x = 3,230.96

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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.