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Finding the Fourth Proportional to 7,792.38, 11,690.91 and 3,634.81

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Solution

The fourth proportional to 7,792.38, 11,690.91 and 3,634.81 is: 5,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.38 : 11,690.91 = 3,634.81 : x
  2. Step 2: Convert to fraction form
    7,792.38/11,690.91 = 3,634.81/x
  3. Step 3: Cross multiply
    7,792.38x = 11,690.91 × 3,634.81
  4. Step 4: Simplify right side
    7,792.38x = 42,494,207.35
  5. Step 5: Solve for x
    x = 42,494,207.35/7,792.38
  6. Step 6: Final answer
    x = 5,453.30

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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.