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Finding the Fourth Proportional to 3,219, 4,828.70 and 879.04

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Solution

The fourth proportional to 3,219, 4,828.70 and 879.04 is: 1,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219 : 4,828.70 = 879.04 : x
  2. Step 2: Convert to fraction form
    3,219/4,828.70 = 879.04/x
  3. Step 3: Cross multiply
    3,219x = 4,828.70 × 879.04
  4. Step 4: Simplify right side
    3,219x = 4,244,620.45
  5. Step 5: Solve for x
    x = 4,244,620.45/3,219
  6. Step 6: Final answer
    x = 1,318.61

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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.