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Finding the Fourth Proportional to 2,817.57, 4,227 and 968.67

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Solution

The fourth proportional to 2,817.57, 4,227 and 968.67 is: 1,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.57 : 4,227 = 968.67 : x
  2. Step 2: Convert to fraction form
    2,817.57/4,227 = 968.67/x
  3. Step 3: Cross multiply
    2,817.57x = 4,227 × 968.67
  4. Step 4: Simplify right side
    2,817.57x = 4,094,568.09
  5. Step 5: Solve for x
    x = 4,094,568.09/2,817.57
  6. Step 6: Final answer
    x = 1,453.23

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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.