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Finding the Fourth Proportional to 5,234.76, 7,855.25 and 2,114.37

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Solution

The fourth proportional to 5,234.76, 7,855.25 and 2,114.37 is: 3,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.76 : 7,855.25 = 2,114.37 : x
  2. Step 2: Convert to fraction form
    5,234.76/7,855.25 = 2,114.37/x
  3. Step 3: Cross multiply
    5,234.76x = 7,855.25 × 2,114.37
  4. Step 4: Simplify right side
    5,234.76x = 16,608,894.37
  5. Step 5: Solve for x
    x = 16,608,894.37/5,234.76
  6. Step 6: Final answer
    x = 3,172.81

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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.