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Finding the Fourth Proportional to 9,676.28, 13,323.47 and 8,474.34

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Solution

The fourth proportional to 9,676.28, 13,323.47 and 8,474.34 is: 11,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.28 : 13,323.47 = 8,474.34 : x
  2. Step 2: Convert to fraction form
    9,676.28/13,323.47 = 8,474.34/x
  3. Step 3: Cross multiply
    9,676.28x = 13,323.47 × 8,474.34
  4. Step 4: Simplify right side
    9,676.28x = 112,907,635.95
  5. Step 5: Solve for x
    x = 112,907,635.95/9,676.28
  6. Step 6: Final answer
    x = 11,668.49

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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.