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Finding the Fourth Proportional to 9,992.72, 13,771.68 and 6,629.60

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Solution

The fourth proportional to 9,992.72, 13,771.68 and 6,629.60 is: 9,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.72 : 13,771.68 = 6,629.60 : x
  2. Step 2: Convert to fraction form
    9,992.72/13,771.68 = 6,629.60/x
  3. Step 3: Cross multiply
    9,992.72x = 13,771.68 × 6,629.60
  4. Step 4: Simplify right side
    9,992.72x = 91,300,729.73
  5. Step 5: Solve for x
    x = 91,300,729.73/9,992.72
  6. Step 6: Final answer
    x = 9,136.72

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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.