Home / 3,413.60-5,119.84-948.68

Finding the Fourth Proportional to 3,413.60, 5,119.84 and 948.68

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Solution

The fourth proportional to 3,413.60, 5,119.84 and 948.68 is: 1,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.60 : 5,119.84 = 948.68 : x
  2. Step 2: Convert to fraction form
    3,413.60/5,119.84 = 948.68/x
  3. Step 3: Cross multiply
    3,413.60x = 5,119.84 × 948.68
  4. Step 4: Simplify right side
    3,413.60x = 4,857,089.81
  5. Step 5: Solve for x
    x = 4,857,089.81/3,413.60
  6. Step 6: Final answer
    x = 1,422.86

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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.