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Finding the Fourth Proportional to 22,781.73, 34,172.91 and 7,991.09

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Solution

The fourth proportional to 22,781.73, 34,172.91 and 7,991.09 is: 11,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.73 : 34,172.91 = 7,991.09 : x
  2. Step 2: Convert to fraction form
    22,781.73/34,172.91 = 7,991.09/x
  3. Step 3: Cross multiply
    22,781.73x = 34,172.91 × 7,991.09
  4. Step 4: Simplify right side
    22,781.73x = 273,078,756.66
  5. Step 5: Solve for x
    x = 273,078,756.66/22,781.73
  6. Step 6: Final answer
    x = 11,986.74

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1.5x scale

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.