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Finding the Fourth Proportional to 1,760.94, 2,640.87 and 1,413.45

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Solution

The fourth proportional to 1,760.94, 2,640.87 and 1,413.45 is: 2,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.94 : 2,640.87 = 1,413.45 : x
  2. Step 2: Convert to fraction form
    1,760.94/2,640.87 = 1,413.45/x
  3. Step 3: Cross multiply
    1,760.94x = 2,640.87 × 1,413.45
  4. Step 4: Simplify right side
    1,760.94x = 3,732,737.70
  5. Step 5: Solve for x
    x = 3,732,737.70/1,760.94
  6. Step 6: Final answer
    x = 2,119.74

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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.