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Finding the Fourth Proportional to 3,388.60, 5,082.74 and 1,413.41

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Solution

The fourth proportional to 3,388.60, 5,082.74 and 1,413.41 is: 2,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.60 : 5,082.74 = 1,413.41 : x
  2. Step 2: Convert to fraction form
    3,388.60/5,082.74 = 1,413.41/x
  3. Step 3: Cross multiply
    3,388.60x = 5,082.74 × 1,413.41
  4. Step 4: Simplify right side
    3,388.60x = 7,184,001.18
  5. Step 5: Solve for x
    x = 7,184,001.18/3,388.60
  6. Step 6: Final answer
    x = 2,120.05

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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.