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Finding the Fourth Proportional to 6,879.54, 10,318 and 1,948

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Solution

The fourth proportional to 6,879.54, 10,318 and 1,948 is: 2,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.54 : 10,318 = 1,948 : x
  2. Step 2: Convert to fraction form
    6,879.54/10,318 = 1,948/x
  3. Step 3: Cross multiply
    6,879.54x = 10,318 × 1,948
  4. Step 4: Simplify right side
    6,879.54x = 20,099,464
  5. Step 5: Solve for x
    x = 20,099,464/6,879.54
  6. Step 6: Final answer
    x = 2,921.63

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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.