Home / 2,780.32-4,171.76-1,413.28

Finding the Fourth Proportional to 2,780.32, 4,171.76 and 1,413.28

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Solution

The fourth proportional to 2,780.32, 4,171.76 and 1,413.28 is: 2,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.32 : 4,171.76 = 1,413.28 : x
  2. Step 2: Convert to fraction form
    2,780.32/4,171.76 = 1,413.28/x
  3. Step 3: Cross multiply
    2,780.32x = 4,171.76 × 1,413.28
  4. Step 4: Simplify right side
    2,780.32x = 5,895,864.97
  5. Step 5: Solve for x
    x = 5,895,864.97/2,780.32
  6. Step 6: Final answer
    x = 2,120.57

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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.