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Finding the Fourth Proportional to 2,878.74, 3,971.03 and 1,993.01

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Solution

The fourth proportional to 2,878.74, 3,971.03 and 1,993.01 is: 2,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.74 : 3,971.03 = 1,993.01 : x
  2. Step 2: Convert to fraction form
    2,878.74/3,971.03 = 1,993.01/x
  3. Step 3: Cross multiply
    2,878.74x = 3,971.03 × 1,993.01
  4. Step 4: Simplify right side
    2,878.74x = 7,914,272.68
  5. Step 5: Solve for x
    x = 7,914,272.68/2,878.74
  6. Step 6: Final answer
    x = 2,749.21

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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.