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Finding the Fourth Proportional to 5,719.22, 7,891.56 and 3,361.81

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Solution

The fourth proportional to 5,719.22, 7,891.56 and 3,361.81 is: 4,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.22 : 7,891.56 = 3,361.81 : x
  2. Step 2: Convert to fraction form
    5,719.22/7,891.56 = 3,361.81/x
  3. Step 3: Cross multiply
    5,719.22x = 7,891.56 × 3,361.81
  4. Step 4: Simplify right side
    5,719.22x = 26,529,925.32
  5. Step 5: Solve for x
    x = 26,529,925.32/5,719.22
  6. Step 6: Final answer
    x = 4,638.73

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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.