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Finding the Fourth Proportional to 4,876, 6,728.96 and 3,481.12

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Solution

The fourth proportional to 4,876, 6,728.96 and 3,481.12 is: 4,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876 : 6,728.96 = 3,481.12 : x
  2. Step 2: Convert to fraction form
    4,876/6,728.96 = 3,481.12/x
  3. Step 3: Cross multiply
    4,876x = 6,728.96 × 3,481.12
  4. Step 4: Simplify right side
    4,876x = 23,424,317.24
  5. Step 5: Solve for x
    x = 23,424,317.24/4,876
  6. Step 6: Final answer
    x = 4,804.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.