Home / 2,765.44-3,817.14-1,822

Finding the Fourth Proportional to 2,765.44, 3,817.14 and 1,822

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Solution

The fourth proportional to 2,765.44, 3,817.14 and 1,822 is: 2,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.44 : 3,817.14 = 1,822 : x
  2. Step 2: Convert to fraction form
    2,765.44/3,817.14 = 1,822/x
  3. Step 3: Cross multiply
    2,765.44x = 3,817.14 × 1,822
  4. Step 4: Simplify right side
    2,765.44x = 6,954,829.08
  5. Step 5: Solve for x
    x = 6,954,829.08/2,765.44
  6. Step 6: Final answer
    x = 2,514.91

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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.