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Finding the Fourth Proportional to 3,821.96, 5,728.04 and 3,081.92

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Solution

The fourth proportional to 3,821.96, 5,728.04 and 3,081.92 is: 4,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.96 : 5,728.04 = 3,081.92 : x
  2. Step 2: Convert to fraction form
    3,821.96/5,728.04 = 3,081.92/x
  3. Step 3: Cross multiply
    3,821.96x = 5,728.04 × 3,081.92
  4. Step 4: Simplify right side
    3,821.96x = 17,653,361.04
  5. Step 5: Solve for x
    x = 17,653,361.04/3,821.96
  6. Step 6: Final answer
    x = 4,618.93

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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.