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Finding the Fourth Proportional to 2,007.75, 2,773.75 and 1,604.85

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Solution

The fourth proportional to 2,007.75, 2,773.75 and 1,604.85 is: 2,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.75 : 2,773.75 = 1,604.85 : x
  2. Step 2: Convert to fraction form
    2,007.75/2,773.75 = 1,604.85/x
  3. Step 3: Cross multiply
    2,007.75x = 2,773.75 × 1,604.85
  4. Step 4: Simplify right side
    2,007.75x = 4,451,452.69
  5. Step 5: Solve for x
    x = 4,451,452.69/2,007.75
  6. Step 6: Final answer
    x = 2,217.13

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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.