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Finding the Fourth Proportional to 3,413.47, 5,120.30 and 948.47

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Solution

The fourth proportional to 3,413.47, 5,120.30 and 948.47 is: 1,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.47 : 5,120.30 = 948.47 : x
  2. Step 2: Convert to fraction form
    3,413.47/5,120.30 = 948.47/x
  3. Step 3: Cross multiply
    3,413.47x = 5,120.30 × 948.47
  4. Step 4: Simplify right side
    3,413.47x = 4,856,450.94
  5. Step 5: Solve for x
    x = 4,856,450.94/3,413.47
  6. Step 6: Final answer
    x = 1,422.73

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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.