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Finding the Fourth Proportional to 7,717.64, 11,577 and 3,821

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Solution

The fourth proportional to 7,717.64, 11,577 and 3,821 is: 5,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.64 : 11,577 = 3,821 : x
  2. Step 2: Convert to fraction form
    7,717.64/11,577 = 3,821/x
  3. Step 3: Cross multiply
    7,717.64x = 11,577 × 3,821
  4. Step 4: Simplify right side
    7,717.64x = 44,235,717
  5. Step 5: Solve for x
    x = 44,235,717/7,717.64
  6. Step 6: Final answer
    x = 5,731.77

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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.