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Finding the Fourth Proportional to 2,850.70, 3,933.90 and 1,591.78

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Solution

The fourth proportional to 2,850.70, 3,933.90 and 1,591.78 is: 2,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.70 : 3,933.90 = 1,591.78 : x
  2. Step 2: Convert to fraction form
    2,850.70/3,933.90 = 1,591.78/x
  3. Step 3: Cross multiply
    2,850.70x = 3,933.90 × 1,591.78
  4. Step 4: Simplify right side
    2,850.70x = 6,261,903.34
  5. Step 5: Solve for x
    x = 6,261,903.34/2,850.70
  6. Step 6: Final answer
    x = 2,196.62

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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.