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Finding the Fourth Proportional to 11,704.67, 16,147.89 and 7,220.64

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Solution

The fourth proportional to 11,704.67, 16,147.89 and 7,220.64 is: 9,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.67 : 16,147.89 = 7,220.64 : x
  2. Step 2: Convert to fraction form
    11,704.67/16,147.89 = 7,220.64/x
  3. Step 3: Cross multiply
    11,704.67x = 16,147.89 × 7,220.64
  4. Step 4: Simplify right side
    11,704.67x = 116,598,161.00
  5. Step 5: Solve for x
    x = 116,598,161.00/11,704.67
  6. Step 6: Final answer
    x = 9,961.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.