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Finding the Fourth Proportional to 3,191.14, 4,786.70 and 851.15

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Solution

The fourth proportional to 3,191.14, 4,786.70 and 851.15 is: 1,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.14 : 4,786.70 = 851.15 : x
  2. Step 2: Convert to fraction form
    3,191.14/4,786.70 = 851.15/x
  3. Step 3: Cross multiply
    3,191.14x = 4,786.70 × 851.15
  4. Step 4: Simplify right side
    3,191.14x = 4,074,171.52
  5. Step 5: Solve for x
    x = 4,074,171.52/3,191.14
  6. Step 6: Final answer
    x = 1,276.72

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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.