Home / 2,142.80-3,215.76-1,413.92

Finding the Fourth Proportional to 2,142.80, 3,215.76 and 1,413.92

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Solution

The fourth proportional to 2,142.80, 3,215.76 and 1,413.92 is: 2,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.80 : 3,215.76 = 1,413.92 : x
  2. Step 2: Convert to fraction form
    2,142.80/3,215.76 = 1,413.92/x
  3. Step 3: Cross multiply
    2,142.80x = 3,215.76 × 1,413.92
  4. Step 4: Simplify right side
    2,142.80x = 4,546,827.38
  5. Step 5: Solve for x
    x = 4,546,827.38/2,142.80
  6. Step 6: Final answer
    x = 2,121.91

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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.