Home / 7,828.24-11,738.04-3,214.48

Finding the Fourth Proportional to 7,828.24, 11,738.04 and 3,214.48

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Solution

The fourth proportional to 7,828.24, 11,738.04 and 3,214.48 is: 4,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.24 : 11,738.04 = 3,214.48 : x
  2. Step 2: Convert to fraction form
    7,828.24/11,738.04 = 3,214.48/x
  3. Step 3: Cross multiply
    7,828.24x = 11,738.04 × 3,214.48
  4. Step 4: Simplify right side
    7,828.24x = 37,731,694.82
  5. Step 5: Solve for x
    x = 37,731,694.82/7,828.24
  6. Step 6: Final answer
    x = 4,819.95

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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.