Home / 5,413.70-8,120-1,518.14

Finding the Fourth Proportional to 5,413.70, 8,120 and 1,518.14

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Solution

The fourth proportional to 5,413.70, 8,120 and 1,518.14 is: 2,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.70 : 8,120 = 1,518.14 : x
  2. Step 2: Convert to fraction form
    5,413.70/8,120 = 1,518.14/x
  3. Step 3: Cross multiply
    5,413.70x = 8,120 × 1,518.14
  4. Step 4: Simplify right side
    5,413.70x = 12,327,296.80
  5. Step 5: Solve for x
    x = 12,327,296.80/5,413.70
  6. Step 6: Final answer
    x = 2,277.06

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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.