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Finding the Fourth Proportional to 2,568.42, 3,853 and 902.30

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Solution

The fourth proportional to 2,568.42, 3,853 and 902.30 is: 1,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.42 : 3,853 = 902.30 : x
  2. Step 2: Convert to fraction form
    2,568.42/3,853 = 902.30/x
  3. Step 3: Cross multiply
    2,568.42x = 3,853 × 902.30
  4. Step 4: Simplify right side
    2,568.42x = 3,476,561.90
  5. Step 5: Solve for x
    x = 3,476,561.90/2,568.42
  6. Step 6: Final answer
    x = 1,353.58

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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.