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Finding the Fourth Proportional to 2,798.35, 4,197.62 and 850.57

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Solution

The fourth proportional to 2,798.35, 4,197.62 and 850.57 is: 1,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.35 : 4,197.62 = 850.57 : x
  2. Step 2: Convert to fraction form
    2,798.35/4,197.62 = 850.57/x
  3. Step 3: Cross multiply
    2,798.35x = 4,197.62 × 850.57
  4. Step 4: Simplify right side
    2,798.35x = 3,570,369.64
  5. Step 5: Solve for x
    x = 3,570,369.64/2,798.35
  6. Step 6: Final answer
    x = 1,275.88

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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.