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Finding the Fourth Proportional to 2,722.50, 4,084.23 and 873.66

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Solution

The fourth proportional to 2,722.50, 4,084.23 and 873.66 is: 1,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.50 : 4,084.23 = 873.66 : x
  2. Step 2: Convert to fraction form
    2,722.50/4,084.23 = 873.66/x
  3. Step 3: Cross multiply
    2,722.50x = 4,084.23 × 873.66
  4. Step 4: Simplify right side
    2,722.50x = 3,568,228.38
  5. Step 5: Solve for x
    x = 3,568,228.38/2,722.50
  6. Step 6: Final answer
    x = 1,310.64

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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.