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Finding the Fourth Proportional to 11,792.16, 17,688.16 and 3,894.56

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Solution

The fourth proportional to 11,792.16, 17,688.16 and 3,894.56 is: 5,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.16 : 17,688.16 = 3,894.56 : x
  2. Step 2: Convert to fraction form
    11,792.16/17,688.16 = 3,894.56/x
  3. Step 3: Cross multiply
    11,792.16x = 17,688.16 × 3,894.56
  4. Step 4: Simplify right side
    11,792.16x = 68,887,600.41
  5. Step 5: Solve for x
    x = 68,887,600.41/11,792.16
  6. Step 6: Final answer
    x = 5,841.81

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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.