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Finding the Fourth Proportional to 6,805.10, 9,391.14 and 3,821.60

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Solution

The fourth proportional to 6,805.10, 9,391.14 and 3,821.60 is: 5,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.10 : 9,391.14 = 3,821.60 : x
  2. Step 2: Convert to fraction form
    6,805.10/9,391.14 = 3,821.60/x
  3. Step 3: Cross multiply
    6,805.10x = 9,391.14 × 3,821.60
  4. Step 4: Simplify right side
    6,805.10x = 35,889,180.62
  5. Step 5: Solve for x
    x = 35,889,180.62/6,805.10
  6. Step 6: Final answer
    x = 5,273.87

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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.