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Finding the Fourth Proportional to 4,199.75, 5,792.70 and 3,639.23

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Solution

The fourth proportional to 4,199.75, 5,792.70 and 3,639.23 is: 5,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.75 : 5,792.70 = 3,639.23 : x
  2. Step 2: Convert to fraction form
    4,199.75/5,792.70 = 3,639.23/x
  3. Step 3: Cross multiply
    4,199.75x = 5,792.70 × 3,639.23
  4. Step 4: Simplify right side
    4,199.75x = 21,080,938.66
  5. Step 5: Solve for x
    x = 21,080,938.66/4,199.75
  6. Step 6: Final answer
    x = 5,019.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.