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Finding the Fourth Proportional to 5,719.44, 7,891.40 and 3,361.12

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Solution

The fourth proportional to 5,719.44, 7,891.40 and 3,361.12 is: 4,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.44 : 7,891.40 = 3,361.12 : x
  2. Step 2: Convert to fraction form
    5,719.44/7,891.40 = 3,361.12/x
  3. Step 3: Cross multiply
    5,719.44x = 7,891.40 × 3,361.12
  4. Step 4: Simplify right side
    5,719.44x = 26,523,942.37
  5. Step 5: Solve for x
    x = 26,523,942.37/5,719.44
  6. Step 6: Final answer
    x = 4,637.51

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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.