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Finding the Fourth Proportional to 6,722.87, 10,085.39 and 2,828.39

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Solution

The fourth proportional to 6,722.87, 10,085.39 and 2,828.39 is: 4,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.87 : 10,085.39 = 2,828.39 : x
  2. Step 2: Convert to fraction form
    6,722.87/10,085.39 = 2,828.39/x
  3. Step 3: Cross multiply
    6,722.87x = 10,085.39 × 2,828.39
  4. Step 4: Simplify right side
    6,722.87x = 28,525,416.22
  5. Step 5: Solve for x
    x = 28,525,416.22/6,722.87
  6. Step 6: Final answer
    x = 4,243.04

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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.