Home / 2,139.54-3,209.31-1,413.69

Finding the Fourth Proportional to 2,139.54, 3,209.31 and 1,413.69

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Solution

The fourth proportional to 2,139.54, 3,209.31 and 1,413.69 is: 2,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.54 : 3,209.31 = 1,413.69 : x
  2. Step 2: Convert to fraction form
    2,139.54/3,209.31 = 1,413.69/x
  3. Step 3: Cross multiply
    2,139.54x = 3,209.31 × 1,413.69
  4. Step 4: Simplify right side
    2,139.54x = 4,536,969.45
  5. Step 5: Solve for x
    x = 4,536,969.45/2,139.54
  6. Step 6: Final answer
    x = 2,120.54

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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.