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Finding the Fourth Proportional to 2,568.34, 3,849.36 and 1,395.56

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Solution

The fourth proportional to 2,568.34, 3,849.36 and 1,395.56 is: 2,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.34 : 3,849.36 = 1,395.56 : x
  2. Step 2: Convert to fraction form
    2,568.34/3,849.36 = 1,395.56/x
  3. Step 3: Cross multiply
    2,568.34x = 3,849.36 × 1,395.56
  4. Step 4: Simplify right side
    2,568.34x = 5,372,017.23
  5. Step 5: Solve for x
    x = 5,372,017.23/2,568.34
  6. Step 6: Final answer
    x = 2,091.63

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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.