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Finding the Fourth Proportional to 6,190.92, 8,542.67 and 3,538.50

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Solution

The fourth proportional to 6,190.92, 8,542.67 and 3,538.50 is: 4,882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.92 : 8,542.67 = 3,538.50 : x
  2. Step 2: Convert to fraction form
    6,190.92/8,542.67 = 3,538.50/x
  3. Step 3: Cross multiply
    6,190.92x = 8,542.67 × 3,538.50
  4. Step 4: Simplify right side
    6,190.92x = 30,228,220.10
  5. Step 5: Solve for x
    x = 30,228,220.10/6,190.92
  6. Step 6: Final answer
    x = 4,882.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.