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Finding the Fourth Proportional to 3,900.87, 5,836.73 and 2,258.19

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Solution

The fourth proportional to 3,900.87, 5,836.73 and 2,258.19 is: 3,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.87 : 5,836.73 = 2,258.19 : x
  2. Step 2: Convert to fraction form
    3,900.87/5,836.73 = 2,258.19/x
  3. Step 3: Cross multiply
    3,900.87x = 5,836.73 × 2,258.19
  4. Step 4: Simplify right side
    3,900.87x = 13,180,434.03
  5. Step 5: Solve for x
    x = 13,180,434.03/3,900.87
  6. Step 6: Final answer
    x = 3,378.84

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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.