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Finding the Fourth Proportional to 3,821.99, 5,727.76 and 1,969.18

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Solution

The fourth proportional to 3,821.99, 5,727.76 and 1,969.18 is: 2,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.99 : 5,727.76 = 1,969.18 : x
  2. Step 2: Convert to fraction form
    3,821.99/5,727.76 = 1,969.18/x
  3. Step 3: Cross multiply
    3,821.99x = 5,727.76 × 1,969.18
  4. Step 4: Simplify right side
    3,821.99x = 11,278,982.27
  5. Step 5: Solve for x
    x = 11,278,982.27/3,821.99
  6. Step 6: Final answer
    x = 2,951.08

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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.