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Finding the Fourth Proportional to 13,876, 20,814 and 4,148

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Solution

The fourth proportional to 13,876, 20,814 and 4,148 is: 6,222

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876 : 20,814 = 4,148 : x
  2. Step 2: Convert to fraction form
    13,876/20,814 = 4,148/x
  3. Step 3: Cross multiply
    13,876x = 20,814 × 4,148
  4. Step 4: Simplify right side
    13,876x = 86,336,472
  5. Step 5: Solve for x
    x = 86,336,472/13,876
  6. Step 6: Final answer
    x = 6,222

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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.