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Finding the Fourth Proportional to 3,105.99, 4,286.19 and 1,780.02

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Solution

The fourth proportional to 3,105.99, 4,286.19 and 1,780.02 is: 2,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.99 : 4,286.19 = 1,780.02 : x
  2. Step 2: Convert to fraction form
    3,105.99/4,286.19 = 1,780.02/x
  3. Step 3: Cross multiply
    3,105.99x = 4,286.19 × 1,780.02
  4. Step 4: Simplify right side
    3,105.99x = 7,629,503.92
  5. Step 5: Solve for x
    x = 7,629,503.92/3,105.99
  6. Step 6: Final answer
    x = 2,456.38

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1.5x scale

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.