Home / 1,413.13-2,119.39-892.43

Finding the Fourth Proportional to 1,413.13, 2,119.39 and 892.43

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Solution

The fourth proportional to 1,413.13, 2,119.39 and 892.43 is: 1,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.13 : 2,119.39 = 892.43 : x
  2. Step 2: Convert to fraction form
    1,413.13/2,119.39 = 892.43/x
  3. Step 3: Cross multiply
    1,413.13x = 2,119.39 × 892.43
  4. Step 4: Simplify right side
    1,413.13x = 1,891,407.22
  5. Step 5: Solve for x
    x = 1,891,407.22/1,413.13
  6. Step 6: Final answer
    x = 1,338.45

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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.