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Finding the Fourth Proportional to 3,873.49, 5,806.72 and 1,792.94

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Solution

The fourth proportional to 3,873.49, 5,806.72 and 1,792.94 is: 2,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.49 : 5,806.72 = 1,792.94 : x
  2. Step 2: Convert to fraction form
    3,873.49/5,806.72 = 1,792.94/x
  3. Step 3: Cross multiply
    3,873.49x = 5,806.72 × 1,792.94
  4. Step 4: Simplify right side
    3,873.49x = 10,411,100.56
  5. Step 5: Solve for x
    x = 10,411,100.56/3,873.49
  6. Step 6: Final answer
    x = 2,687.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.