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Finding the Fourth Proportional to 3,190.64, 4,785.95 and 850.64

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Solution

The fourth proportional to 3,190.64, 4,785.95 and 850.64 is: 1,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.64 : 4,785.95 = 850.64 : x
  2. Step 2: Convert to fraction form
    3,190.64/4,785.95 = 850.64/x
  3. Step 3: Cross multiply
    3,190.64x = 4,785.95 × 850.64
  4. Step 4: Simplify right side
    3,190.64x = 4,071,128.22
  5. Step 5: Solve for x
    x = 4,071,128.22/3,190.64
  6. Step 6: Final answer
    x = 1,275.96

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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.