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Finding the Fourth Proportional to 6,805.60, 9,391.68 and 3,821.44

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Solution

The fourth proportional to 6,805.60, 9,391.68 and 3,821.44 is: 5,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.60 : 9,391.68 = 3,821.44 : x
  2. Step 2: Convert to fraction form
    6,805.60/9,391.68 = 3,821.44/x
  3. Step 3: Cross multiply
    6,805.60x = 9,391.68 × 3,821.44
  4. Step 4: Simplify right side
    6,805.60x = 35,889,741.62
  5. Step 5: Solve for x
    x = 35,889,741.62/6,805.60
  6. Step 6: Final answer
    x = 5,273.56

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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.