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Finding the Fourth Proportional to 3,289.56, 4,935.42 and 1,645.98

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Solution

The fourth proportional to 3,289.56, 4,935.42 and 1,645.98 is: 2,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.56 : 4,935.42 = 1,645.98 : x
  2. Step 2: Convert to fraction form
    3,289.56/4,935.42 = 1,645.98/x
  3. Step 3: Cross multiply
    3,289.56x = 4,935.42 × 1,645.98
  4. Step 4: Simplify right side
    3,289.56x = 8,123,602.61
  5. Step 5: Solve for x
    x = 8,123,602.61/3,289.56
  6. Step 6: Final answer
    x = 2,469.51

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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.