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Finding the Fourth Proportional to 2,589.43, 3,549.32 and 2,552.98

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Solution

The fourth proportional to 2,589.43, 3,549.32 and 2,552.98 is: 3,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.43 : 3,549.32 = 2,552.98 : x
  2. Step 2: Convert to fraction form
    2,589.43/3,549.32 = 2,552.98/x
  3. Step 3: Cross multiply
    2,589.43x = 3,549.32 × 2,552.98
  4. Step 4: Simplify right side
    2,589.43x = 9,061,342.97
  5. Step 5: Solve for x
    x = 9,061,342.97/2,589.43
  6. Step 6: Final answer
    x = 3,499.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.