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Finding the Fourth Proportional to 3,413.94, 5,117.25 and 1,655.25

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Solution

The fourth proportional to 3,413.94, 5,117.25 and 1,655.25 is: 2,481.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.94 : 5,117.25 = 1,655.25 : x
  2. Step 2: Convert to fraction form
    3,413.94/5,117.25 = 1,655.25/x
  3. Step 3: Cross multiply
    3,413.94x = 5,117.25 × 1,655.25
  4. Step 4: Simplify right side
    3,413.94x = 8,470,328.06
  5. Step 5: Solve for x
    x = 8,470,328.06/3,413.94
  6. Step 6: Final answer
    x = 2,481.10

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1.5x scale

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.