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Finding the Fourth Proportional to 6,803.91, 9,388.75 and 3,819.06

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Solution

The fourth proportional to 6,803.91, 9,388.75 and 3,819.06 is: 5,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.91 : 9,388.75 = 3,819.06 : x
  2. Step 2: Convert to fraction form
    6,803.91/9,388.75 = 3,819.06/x
  3. Step 3: Cross multiply
    6,803.91x = 9,388.75 × 3,819.06
  4. Step 4: Simplify right side
    6,803.91x = 35,856,223.05
  5. Step 5: Solve for x
    x = 35,856,223.05/6,803.91
  6. Step 6: Final answer
    x = 5,269.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.