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Finding the Fourth Proportional to 2,657.92, 3,986.91 and 1,270.93

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Solution

The fourth proportional to 2,657.92, 3,986.91 and 1,270.93 is: 1,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.92 : 3,986.91 = 1,270.93 : x
  2. Step 2: Convert to fraction form
    2,657.92/3,986.91 = 1,270.93/x
  3. Step 3: Cross multiply
    2,657.92x = 3,986.91 × 1,270.93
  4. Step 4: Simplify right side
    2,657.92x = 5,067,083.53
  5. Step 5: Solve for x
    x = 5,067,083.53/2,657.92
  6. Step 6: Final answer
    x = 1,906.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.