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Finding the Fourth Proportional to 6,102.90, 8,422.02 and 3,450.48

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Solution

The fourth proportional to 6,102.90, 8,422.02 and 3,450.48 is: 4,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.90 : 8,422.02 = 3,450.48 : x
  2. Step 2: Convert to fraction form
    6,102.90/8,422.02 = 3,450.48/x
  3. Step 3: Cross multiply
    6,102.90x = 8,422.02 × 3,450.48
  4. Step 4: Simplify right side
    6,102.90x = 29,060,011.57
  5. Step 5: Solve for x
    x = 29,060,011.57/6,102.90
  6. Step 6: Final answer
    x = 4,761.67

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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.