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Finding the Fourth Proportional to 8,520.14, 12,743.76 and 7,105.88

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Solution

The fourth proportional to 8,520.14, 12,743.76 and 7,105.88 is: 10,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.14 : 12,743.76 = 7,105.88 : x
  2. Step 2: Convert to fraction form
    8,520.14/12,743.76 = 7,105.88/x
  3. Step 3: Cross multiply
    8,520.14x = 12,743.76 × 7,105.88
  4. Step 4: Simplify right side
    8,520.14x = 90,555,629.31
  5. Step 5: Solve for x
    x = 90,555,629.31/8,520.14
  6. Step 6: Final answer
    x = 10,628.42

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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.