Home / 5,740-7,922.16-3,257.44

Finding the Fourth Proportional to 5,740, 7,922.16 and 3,257.44

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Solution

The fourth proportional to 5,740, 7,922.16 and 3,257.44 is: 4,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740 : 7,922.16 = 3,257.44 : x
  2. Step 2: Convert to fraction form
    5,740/7,922.16 = 3,257.44/x
  3. Step 3: Cross multiply
    5,740x = 7,922.16 × 3,257.44
  4. Step 4: Simplify right side
    5,740x = 25,805,960.87
  5. Step 5: Solve for x
    x = 25,805,960.87/5,740
  6. Step 6: Final answer
    x = 4,495.81

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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.