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Finding the Fourth Proportional to 3,854.70, 5,785.17 and 2,189.88

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Solution

The fourth proportional to 3,854.70, 5,785.17 and 2,189.88 is: 3,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.70 : 5,785.17 = 2,189.88 : x
  2. Step 2: Convert to fraction form
    3,854.70/5,785.17 = 2,189.88/x
  3. Step 3: Cross multiply
    3,854.70x = 5,785.17 × 2,189.88
  4. Step 4: Simplify right side
    3,854.70x = 12,668,828.08
  5. Step 5: Solve for x
    x = 12,668,828.08/3,854.70
  6. Step 6: Final answer
    x = 3,286.59

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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.