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Finding the Fourth Proportional to 2,828.26, 4,242.66 and 879.94

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Solution

The fourth proportional to 2,828.26, 4,242.66 and 879.94 is: 1,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.26 : 4,242.66 = 879.94 : x
  2. Step 2: Convert to fraction form
    2,828.26/4,242.66 = 879.94/x
  3. Step 3: Cross multiply
    2,828.26x = 4,242.66 × 879.94
  4. Step 4: Simplify right side
    2,828.26x = 3,733,286.24
  5. Step 5: Solve for x
    x = 3,733,286.24/2,828.26
  6. Step 6: Final answer
    x = 1,319.99

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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.