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Finding the Fourth Proportional to 12,202.25, 16,836.86 and 7,167.29

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Solution

The fourth proportional to 12,202.25, 16,836.86 and 7,167.29 is: 9,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.25 : 16,836.86 = 7,167.29 : x
  2. Step 2: Convert to fraction form
    12,202.25/16,836.86 = 7,167.29/x
  3. Step 3: Cross multiply
    12,202.25x = 16,836.86 × 7,167.29
  4. Step 4: Simplify right side
    12,202.25x = 120,674,592.04
  5. Step 5: Solve for x
    x = 120,674,592.04/12,202.25
  6. Step 6: Final answer
    x = 9,889.54

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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.