Home / 3,102.26-4,652.85-1,413.28

Finding the Fourth Proportional to 3,102.26, 4,652.85 and 1,413.28

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Solution

The fourth proportional to 3,102.26, 4,652.85 and 1,413.28 is: 2,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.26 : 4,652.85 = 1,413.28 : x
  2. Step 2: Convert to fraction form
    3,102.26/4,652.85 = 1,413.28/x
  3. Step 3: Cross multiply
    3,102.26x = 4,652.85 × 1,413.28
  4. Step 4: Simplify right side
    3,102.26x = 6,575,768.22
  5. Step 5: Solve for x
    x = 6,575,768.22/3,102.26
  6. Step 6: Final answer
    x = 2,119.67

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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.