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Finding the Fourth Proportional to 3,821.67, 5,274.92 and 3,589.34

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Solution

The fourth proportional to 3,821.67, 5,274.92 and 3,589.34 is: 4,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.67 : 5,274.92 = 3,589.34 : x
  2. Step 2: Convert to fraction form
    3,821.67/5,274.92 = 3,589.34/x
  3. Step 3: Cross multiply
    3,821.67x = 5,274.92 × 3,589.34
  4. Step 4: Simplify right side
    3,821.67x = 18,933,463.95
  5. Step 5: Solve for x
    x = 18,933,463.95/3,821.67
  6. Step 6: Final answer
    x = 4,954.24

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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.