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Finding the Fourth Proportional to 4,876, 7,314 and 1,413.28

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Solution

The fourth proportional to 4,876, 7,314 and 1,413.28 is: 2,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876 : 7,314 = 1,413.28 : x
  2. Step 2: Convert to fraction form
    4,876/7,314 = 1,413.28/x
  3. Step 3: Cross multiply
    4,876x = 7,314 × 1,413.28
  4. Step 4: Simplify right side
    4,876x = 10,336,729.92
  5. Step 5: Solve for x
    x = 10,336,729.92/4,876
  6. Step 6: Final answer
    x = 2,119.92

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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.