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Finding the Fourth Proportional to 3,191.97, 4,787.96 and 851.99

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Solution

The fourth proportional to 3,191.97, 4,787.96 and 851.99 is: 1,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.97 : 4,787.96 = 851.99 : x
  2. Step 2: Convert to fraction form
    3,191.97/4,787.96 = 851.99/x
  3. Step 3: Cross multiply
    3,191.97x = 4,787.96 × 851.99
  4. Step 4: Simplify right side
    3,191.97x = 4,079,285.70
  5. Step 5: Solve for x
    x = 4,079,285.70/3,191.97
  6. Step 6: Final answer
    x = 1,277.98

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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.