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Finding the Fourth Proportional to 3,876.80, 5,814.30 and 1,794.78

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Solution

The fourth proportional to 3,876.80, 5,814.30 and 1,794.78 is: 2,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.80 : 5,814.30 = 1,794.78 : x
  2. Step 2: Convert to fraction form
    3,876.80/5,814.30 = 1,794.78/x
  3. Step 3: Cross multiply
    3,876.80x = 5,814.30 × 1,794.78
  4. Step 4: Simplify right side
    3,876.80x = 10,435,389.35
  5. Step 5: Solve for x
    x = 10,435,389.35/3,876.80
  6. Step 6: Final answer
    x = 2,691.76

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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.