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Finding the Fourth Proportional to 3,219.24, 4,828.71 and 879.23

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Solution

The fourth proportional to 3,219.24, 4,828.71 and 879.23 is: 1,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.24 : 4,828.71 = 879.23 : x
  2. Step 2: Convert to fraction form
    3,219.24/4,828.71 = 879.23/x
  3. Step 3: Cross multiply
    3,219.24x = 4,828.71 × 879.23
  4. Step 4: Simplify right side
    3,219.24x = 4,245,546.69
  5. Step 5: Solve for x
    x = 4,245,546.69/3,219.24
  6. Step 6: Final answer
    x = 1,318.80

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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.