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Finding the Fourth Proportional to 2,798.45, 4,197.91 and 850.67

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Solution

The fourth proportional to 2,798.45, 4,197.91 and 850.67 is: 1,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.45 : 4,197.91 = 850.67 : x
  2. Step 2: Convert to fraction form
    2,798.45/4,197.91 = 850.67/x
  3. Step 3: Cross multiply
    2,798.45x = 4,197.91 × 850.67
  4. Step 4: Simplify right side
    2,798.45x = 3,571,036.10
  5. Step 5: Solve for x
    x = 3,571,036.10/2,798.45
  6. Step 6: Final answer
    x = 1,276.08

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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.