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Finding the Fourth Proportional to 1,906.36, 2,629.47 and 1,749.58

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Solution

The fourth proportional to 1,906.36, 2,629.47 and 1,749.58 is: 2,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.36 : 2,629.47 = 1,749.58 : x
  2. Step 2: Convert to fraction form
    1,906.36/2,629.47 = 1,749.58/x
  3. Step 3: Cross multiply
    1,906.36x = 2,629.47 × 1,749.58
  4. Step 4: Simplify right side
    1,906.36x = 4,600,468.11
  5. Step 5: Solve for x
    x = 4,600,468.11/1,906.36
  6. Step 6: Final answer
    x = 2,413.22

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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.