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Finding the Fourth Proportional to 3,859.26, 5,789.61 and 1,778.46

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Solution

The fourth proportional to 3,859.26, 5,789.61 and 1,778.46 is: 2,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.26 : 5,789.61 = 1,778.46 : x
  2. Step 2: Convert to fraction form
    3,859.26/5,789.61 = 1,778.46/x
  3. Step 3: Cross multiply
    3,859.26x = 5,789.61 × 1,778.46
  4. Step 4: Simplify right side
    3,859.26x = 10,296,589.80
  5. Step 5: Solve for x
    x = 10,296,589.80/3,859.26
  6. Step 6: Final answer
    x = 2,668.02

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1.5x scale

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.