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Finding the Fourth Proportional to 2,522.50, 3,481.50 and 2,411.80

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Solution

The fourth proportional to 2,522.50, 3,481.50 and 2,411.80 is: 3,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.50 : 3,481.50 = 2,411.80 : x
  2. Step 2: Convert to fraction form
    2,522.50/3,481.50 = 2,411.80/x
  3. Step 3: Cross multiply
    2,522.50x = 3,481.50 × 2,411.80
  4. Step 4: Simplify right side
    2,522.50x = 8,396,681.70
  5. Step 5: Solve for x
    x = 8,396,681.70/2,522.50
  6. Step 6: Final answer
    x = 3,328.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.