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Finding the Fourth Proportional to 2,568.80, 3,853.56 and 2,086

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Solution

The fourth proportional to 2,568.80, 3,853.56 and 2,086 is: 3,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.80 : 3,853.56 = 2,086 : x
  2. Step 2: Convert to fraction form
    2,568.80/3,853.56 = 2,086/x
  3. Step 3: Cross multiply
    2,568.80x = 3,853.56 × 2,086
  4. Step 4: Simplify right side
    2,568.80x = 8,038,526.16
  5. Step 5: Solve for x
    x = 8,038,526.16/2,568.80
  6. Step 6: Final answer
    x = 3,129.29

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Why These Related Problems?

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