Home / 2,782.97-3,836.79-1,837.16

Finding the Fourth Proportional to 2,782.97, 3,836.79 and 1,837.16

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Solution

The fourth proportional to 2,782.97, 3,836.79 and 1,837.16 is: 2,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.97 : 3,836.79 = 1,837.16 : x
  2. Step 2: Convert to fraction form
    2,782.97/3,836.79 = 1,837.16/x
  3. Step 3: Cross multiply
    2,782.97x = 3,836.79 × 1,837.16
  4. Step 4: Simplify right side
    2,782.97x = 7,048,777.93
  5. Step 5: Solve for x
    x = 7,048,777.93/2,782.97
  6. Step 6: Final answer
    x = 2,532.83

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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.