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Finding the Fourth Proportional to 11,792.40, 17,690.49 and 3,892.68

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Solution

The fourth proportional to 11,792.40, 17,690.49 and 3,892.68 is: 5,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.40 : 17,690.49 = 3,892.68 : x
  2. Step 2: Convert to fraction form
    11,792.40/17,690.49 = 3,892.68/x
  3. Step 3: Cross multiply
    11,792.40x = 17,690.49 × 3,892.68
  4. Step 4: Simplify right side
    11,792.40x = 68,863,416.61
  5. Step 5: Solve for x
    x = 68,863,416.61/11,792.40
  6. Step 6: Final answer
    x = 5,839.64

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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.