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Finding the Fourth Proportional to 3,578.03, 4,936.74 and 2,065.22

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Solution

The fourth proportional to 3,578.03, 4,936.74 and 2,065.22 is: 2,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.03 : 4,936.74 = 2,065.22 : x
  2. Step 2: Convert to fraction form
    3,578.03/4,936.74 = 2,065.22/x
  3. Step 3: Cross multiply
    3,578.03x = 4,936.74 × 2,065.22
  4. Step 4: Simplify right side
    3,578.03x = 10,195,449.59
  5. Step 5: Solve for x
    x = 10,195,449.59/3,578.03
  6. Step 6: Final answer
    x = 2,849.46

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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.