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Finding the Fourth Proportional to 7,420.75, 11,114.94 and 3,716.52

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Solution

The fourth proportional to 7,420.75, 11,114.94 and 3,716.52 is: 5,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.75 : 11,114.94 = 3,716.52 : x
  2. Step 2: Convert to fraction form
    7,420.75/11,114.94 = 3,716.52/x
  3. Step 3: Cross multiply
    7,420.75x = 11,114.94 × 3,716.52
  4. Step 4: Simplify right side
    7,420.75x = 41,308,896.81
  5. Step 5: Solve for x
    x = 41,308,896.81/7,420.75
  6. Step 6: Final answer
    x = 5,566.67

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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.