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Finding the Fourth Proportional to 3,191.05, 4,786.42 and 969.80

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Solution

The fourth proportional to 3,191.05, 4,786.42 and 969.80 is: 1,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.05 : 4,786.42 = 969.80 : x
  2. Step 2: Convert to fraction form
    3,191.05/4,786.42 = 969.80/x
  3. Step 3: Cross multiply
    3,191.05x = 4,786.42 × 969.80
  4. Step 4: Simplify right side
    3,191.05x = 4,641,856.31
  5. Step 5: Solve for x
    x = 4,641,856.31/3,191.05
  6. Step 6: Final answer
    x = 1,454.65

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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.