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Finding the Fourth Proportional to 13,861.86, 20,792.12 and 5,096.12

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Solution

The fourth proportional to 13,861.86, 20,792.12 and 5,096.12 is: 7,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.86 : 20,792.12 = 5,096.12 : x
  2. Step 2: Convert to fraction form
    13,861.86/20,792.12 = 5,096.12/x
  3. Step 3: Cross multiply
    13,861.86x = 20,792.12 × 5,096.12
  4. Step 4: Simplify right side
    13,861.86x = 105,959,138.57
  5. Step 5: Solve for x
    x = 105,959,138.57/13,861.86
  6. Step 6: Final answer
    x = 7,643.93

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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.