Home / 1,413.01-2,121.09-828.73

Finding the Fourth Proportional to 1,413.01, 2,121.09 and 828.73

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Solution

The fourth proportional to 1,413.01, 2,121.09 and 828.73 is: 1,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.01 : 2,121.09 = 828.73 : x
  2. Step 2: Convert to fraction form
    1,413.01/2,121.09 = 828.73/x
  3. Step 3: Cross multiply
    1,413.01x = 2,121.09 × 828.73
  4. Step 4: Simplify right side
    1,413.01x = 1,757,810.92
  5. Step 5: Solve for x
    x = 1,757,810.92/1,413.01
  6. Step 6: Final answer
    x = 1,244.02

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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.