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Finding the Fourth Proportional to 6,805.76, 9,391.77 and 3,821.72

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Solution

The fourth proportional to 6,805.76, 9,391.77 and 3,821.72 is: 5,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.76 : 9,391.77 = 3,821.72 : x
  2. Step 2: Convert to fraction form
    6,805.76/9,391.77 = 3,821.72/x
  3. Step 3: Cross multiply
    6,805.76x = 9,391.77 × 3,821.72
  4. Step 4: Simplify right side
    6,805.76x = 35,892,668.29
  5. Step 5: Solve for x
    x = 35,892,668.29/6,805.76
  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.