Home / 3,413.40-5,114.70-2,257.80

Finding the Fourth Proportional to 3,413.40, 5,114.70 and 2,257.80

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Solution

The fourth proportional to 3,413.40, 5,114.70 and 2,257.80 is: 3,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.40 : 5,114.70 = 2,257.80 : x
  2. Step 2: Convert to fraction form
    3,413.40/5,114.70 = 2,257.80/x
  3. Step 3: Cross multiply
    3,413.40x = 5,114.70 × 2,257.80
  4. Step 4: Simplify right side
    3,413.40x = 11,547,969.66
  5. Step 5: Solve for x
    x = 11,547,969.66/3,413.40
  6. Step 6: Final answer
    x = 3,383.13

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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.