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Finding the Fourth Proportional to 3,286.90, 4,535.90 and 1,794.81

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Solution

The fourth proportional to 3,286.90, 4,535.90 and 1,794.81 is: 2,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.90 : 4,535.90 = 1,794.81 : x
  2. Step 2: Convert to fraction form
    3,286.90/4,535.90 = 1,794.81/x
  3. Step 3: Cross multiply
    3,286.90x = 4,535.90 × 1,794.81
  4. Step 4: Simplify right side
    3,286.90x = 8,141,069.70
  5. Step 5: Solve for x
    x = 8,141,069.70/3,286.90
  6. Step 6: Final answer
    x = 2,476.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.