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Finding the Fourth Proportional to 9,286.74, 13,922.82 and 4,839.21

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Solution

The fourth proportional to 9,286.74, 13,922.82 and 4,839.21 is: 7,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.74 : 13,922.82 = 4,839.21 : x
  2. Step 2: Convert to fraction form
    9,286.74/13,922.82 = 4,839.21/x
  3. Step 3: Cross multiply
    9,286.74x = 13,922.82 × 4,839.21
  4. Step 4: Simplify right side
    9,286.74x = 67,375,449.77
  5. Step 5: Solve for x
    x = 67,375,449.77/9,286.74
  6. Step 6: Final answer
    x = 7,255.02

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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.