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Finding the Fourth Proportional to 2,665.14, 3,998.54 and 910.19

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Solution

The fourth proportional to 2,665.14, 3,998.54 and 910.19 is: 1,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.14 : 3,998.54 = 910.19 : x
  2. Step 2: Convert to fraction form
    2,665.14/3,998.54 = 910.19/x
  3. Step 3: Cross multiply
    2,665.14x = 3,998.54 × 910.19
  4. Step 4: Simplify right side
    2,665.14x = 3,639,413.41
  5. Step 5: Solve for x
    x = 3,639,413.41/2,665.14
  6. Step 6: Final answer
    x = 1,365.56

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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.