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Finding the Fourth Proportional to 3,798.39, 5,678.86 and 3,219.85

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Solution

The fourth proportional to 3,798.39, 5,678.86 and 3,219.85 is: 4,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.39 : 5,678.86 = 3,219.85 : x
  2. Step 2: Convert to fraction form
    3,798.39/5,678.86 = 3,219.85/x
  3. Step 3: Cross multiply
    3,798.39x = 5,678.86 × 3,219.85
  4. Step 4: Simplify right side
    3,798.39x = 18,285,082.46
  5. Step 5: Solve for x
    x = 18,285,082.46/3,798.39
  6. Step 6: Final answer
    x = 4,813.90

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1.5x scale

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.