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Finding the Fourth Proportional to 9,136.56, 13,704.72 and 2,211

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Solution

The fourth proportional to 9,136.56, 13,704.72 and 2,211 is: 3,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.56 : 13,704.72 = 2,211 : x
  2. Step 2: Convert to fraction form
    9,136.56/13,704.72 = 2,211/x
  3. Step 3: Cross multiply
    9,136.56x = 13,704.72 × 2,211
  4. Step 4: Simplify right side
    9,136.56x = 30,301,135.92
  5. Step 5: Solve for x
    x = 30,301,135.92/9,136.56
  6. Step 6: Final answer
    x = 3,316.47

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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.