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Finding the Fourth Proportional to 2,568.26, 3,852.48 and 1,702.10

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Solution

The fourth proportional to 2,568.26, 3,852.48 and 1,702.10 is: 2,553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.26 : 3,852.48 = 1,702.10 : x
  2. Step 2: Convert to fraction form
    2,568.26/3,852.48 = 1,702.10/x
  3. Step 3: Cross multiply
    2,568.26x = 3,852.48 × 1,702.10
  4. Step 4: Simplify right side
    2,568.26x = 6,557,306.21
  5. Step 5: Solve for x
    x = 6,557,306.21/2,568.26
  6. Step 6: Final answer
    x = 2,553.21

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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.