Home / 1,413.80-2,120.70-921.73

Finding the Fourth Proportional to 1,413.80, 2,120.70 and 921.73

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Solution

The fourth proportional to 1,413.80, 2,120.70 and 921.73 is: 1,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.80 : 2,120.70 = 921.73 : x
  2. Step 2: Convert to fraction form
    1,413.80/2,120.70 = 921.73/x
  3. Step 3: Cross multiply
    1,413.80x = 2,120.70 × 921.73
  4. Step 4: Simplify right side
    1,413.80x = 1,954,712.81
  5. Step 5: Solve for x
    x = 1,954,712.81/1,413.80
  6. Step 6: Final answer
    x = 1,382.60

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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.