Home / 1,957.75-2,936.37-496.78

Finding the Fourth Proportional to 1,957.75, 2,936.37 and 496.78

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Solution

The fourth proportional to 1,957.75, 2,936.37 and 496.78 is: 745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.75 : 2,936.37 = 496.78 : x
  2. Step 2: Convert to fraction form
    1,957.75/2,936.37 = 496.78/x
  3. Step 3: Cross multiply
    1,957.75x = 2,936.37 × 496.78
  4. Step 4: Simplify right side
    1,957.75x = 1,458,729.89
  5. Step 5: Solve for x
    x = 1,458,729.89/1,957.75
  6. Step 6: Final answer
    x = 745.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.