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Finding the Fourth Proportional to 6,879.78, 10,318 and 3,178.45

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Solution

The fourth proportional to 6,879.78, 10,318 and 3,178.45 is: 4,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.78 : 10,318 = 3,178.45 : x
  2. Step 2: Convert to fraction form
    6,879.78/10,318 = 3,178.45/x
  3. Step 3: Cross multiply
    6,879.78x = 10,318 × 3,178.45
  4. Step 4: Simplify right side
    6,879.78x = 32,795,247.10
  5. Step 5: Solve for x
    x = 32,795,247.10/6,879.78
  6. Step 6: Final answer
    x = 4,766.90

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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.