Home / 4,082.28-6,121.92-1,413.20

Finding the Fourth Proportional to 4,082.28, 6,121.92 and 1,413.20

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Solution

The fourth proportional to 4,082.28, 6,121.92 and 1,413.20 is: 2,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.28 : 6,121.92 = 1,413.20 : x
  2. Step 2: Convert to fraction form
    4,082.28/6,121.92 = 1,413.20/x
  3. Step 3: Cross multiply
    4,082.28x = 6,121.92 × 1,413.20
  4. Step 4: Simplify right side
    4,082.28x = 8,651,497.34
  5. Step 5: Solve for x
    x = 8,651,497.34/4,082.28
  6. Step 6: Final answer
    x = 2,119.28

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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.