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Finding the Fourth Proportional to 2,798.31, 4,198.07 and 850.67

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Solution

The fourth proportional to 2,798.31, 4,198.07 and 850.67 is: 1,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.31 : 4,198.07 = 850.67 : x
  2. Step 2: Convert to fraction form
    2,798.31/4,198.07 = 850.67/x
  3. Step 3: Cross multiply
    2,798.31x = 4,198.07 × 850.67
  4. Step 4: Simplify right side
    2,798.31x = 3,571,172.21
  5. Step 5: Solve for x
    x = 3,571,172.21/2,798.31
  6. Step 6: Final answer
    x = 1,276.19

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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.