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Finding the Fourth Proportional to 2,147.94, 3,223.08 and 850.32

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Solution

The fourth proportional to 2,147.94, 3,223.08 and 850.32 is: 1,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.94 : 3,223.08 = 850.32 : x
  2. Step 2: Convert to fraction form
    2,147.94/3,223.08 = 850.32/x
  3. Step 3: Cross multiply
    2,147.94x = 3,223.08 × 850.32
  4. Step 4: Simplify right side
    2,147.94x = 2,740,649.39
  5. Step 5: Solve for x
    x = 2,740,649.39/2,147.94
  6. Step 6: Final answer
    x = 1,275.94

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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.