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Finding the Fourth Proportional to 4,776.86, 7,161.57 and 2,276.76

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Solution

The fourth proportional to 4,776.86, 7,161.57 and 2,276.76 is: 3,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.86 : 7,161.57 = 2,276.76 : x
  2. Step 2: Convert to fraction form
    4,776.86/7,161.57 = 2,276.76/x
  3. Step 3: Cross multiply
    4,776.86x = 7,161.57 × 2,276.76
  4. Step 4: Simplify right side
    4,776.86x = 16,305,176.11
  5. Step 5: Solve for x
    x = 16,305,176.11/4,776.86
  6. Step 6: Final answer
    x = 3,413.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.