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Finding the Fourth Proportional to 2,205.70, 3,310.71 and 1,799.78

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Solution

The fourth proportional to 2,205.70, 3,310.71 and 1,799.78 is: 2,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.70 : 3,310.71 = 1,799.78 : x
  2. Step 2: Convert to fraction form
    2,205.70/3,310.71 = 1,799.78/x
  3. Step 3: Cross multiply
    2,205.70x = 3,310.71 × 1,799.78
  4. Step 4: Simplify right side
    2,205.70x = 5,958,549.64
  5. Step 5: Solve for x
    x = 5,958,549.64/2,205.70
  6. Step 6: Final answer
    x = 2,701.43

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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.