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Finding the Fourth Proportional to 8,164.96, 12,244.56 and 3,781.60

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Solution

The fourth proportional to 8,164.96, 12,244.56 and 3,781.60 is: 5,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.96 : 12,244.56 = 3,781.60 : x
  2. Step 2: Convert to fraction form
    8,164.96/12,244.56 = 3,781.60/x
  3. Step 3: Cross multiply
    8,164.96x = 12,244.56 × 3,781.60
  4. Step 4: Simplify right side
    8,164.96x = 46,304,028.10
  5. Step 5: Solve for x
    x = 46,304,028.10/8,164.96
  6. Step 6: Final answer
    x = 5,671.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.