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Finding the Fourth Proportional to 3,286.57, 4,921.02 and 2,051.53

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Solution

The fourth proportional to 3,286.57, 4,921.02 and 2,051.53 is: 3,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.57 : 4,921.02 = 2,051.53 : x
  2. Step 2: Convert to fraction form
    3,286.57/4,921.02 = 2,051.53/x
  3. Step 3: Cross multiply
    3,286.57x = 4,921.02 × 2,051.53
  4. Step 4: Simplify right side
    3,286.57x = 10,095,620.16
  5. Step 5: Solve for x
    x = 10,095,620.16/3,286.57
  6. Step 6: Final answer
    x = 3,071.78

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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.