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Finding the Fourth Proportional to 3,640.95, 5,456.85 and 1,558.50

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Solution

The fourth proportional to 3,640.95, 5,456.85 and 1,558.50 is: 2,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.95 : 5,456.85 = 1,558.50 : x
  2. Step 2: Convert to fraction form
    3,640.95/5,456.85 = 1,558.50/x
  3. Step 3: Cross multiply
    3,640.95x = 5,456.85 × 1,558.50
  4. Step 4: Simplify right side
    3,640.95x = 8,504,500.73
  5. Step 5: Solve for x
    x = 8,504,500.73/3,640.95
  6. Step 6: Final answer
    x = 2,335.79

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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.