Home / 3,413.14-5,119.63-947.90

Finding the Fourth Proportional to 3,413.14, 5,119.63 and 947.90

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Solution

The fourth proportional to 3,413.14, 5,119.63 and 947.90 is: 1,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.14 : 5,119.63 = 947.90 : x
  2. Step 2: Convert to fraction form
    3,413.14/5,119.63 = 947.90/x
  3. Step 3: Cross multiply
    3,413.14x = 5,119.63 × 947.90
  4. Step 4: Simplify right side
    3,413.14x = 4,852,897.28
  5. Step 5: Solve for x
    x = 4,852,897.28/3,413.14
  6. Step 6: Final answer
    x = 1,421.83

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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.