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Finding the Fourth Proportional to 3,310.56, 4,965.83 and 845.38

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Solution

The fourth proportional to 3,310.56, 4,965.83 and 845.38 is: 1,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.56 : 4,965.83 = 845.38 : x
  2. Step 2: Convert to fraction form
    3,310.56/4,965.83 = 845.38/x
  3. Step 3: Cross multiply
    3,310.56x = 4,965.83 × 845.38
  4. Step 4: Simplify right side
    3,310.56x = 4,198,003.06
  5. Step 5: Solve for x
    x = 4,198,003.06/3,310.56
  6. Step 6: Final answer
    x = 1,268.07

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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.