Home / 2,142.38-3,218.44-1,413.38

Finding the Fourth Proportional to 2,142.38, 3,218.44 and 1,413.38

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Solution

The fourth proportional to 2,142.38, 3,218.44 and 1,413.38 is: 2,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.38 : 3,218.44 = 1,413.38 : x
  2. Step 2: Convert to fraction form
    2,142.38/3,218.44 = 1,413.38/x
  3. Step 3: Cross multiply
    2,142.38x = 3,218.44 × 1,413.38
  4. Step 4: Simplify right side
    2,142.38x = 4,548,878.73
  5. Step 5: Solve for x
    x = 4,548,878.73/2,142.38
  6. Step 6: Final answer
    x = 2,123.28

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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.