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Finding the Fourth Proportional to 3,191.16, 4,786.48 and 851.08

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Solution

The fourth proportional to 3,191.16, 4,786.48 and 851.08 is: 1,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.16 : 4,786.48 = 851.08 : x
  2. Step 2: Convert to fraction form
    3,191.16/4,786.48 = 851.08/x
  3. Step 3: Cross multiply
    3,191.16x = 4,786.48 × 851.08
  4. Step 4: Simplify right side
    3,191.16x = 4,073,677.40
  5. Step 5: Solve for x
    x = 4,073,677.40/3,191.16
  6. Step 6: Final answer
    x = 1,276.55

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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.