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Finding the Fourth Proportional to 12,202.67, 18,253.89 and 9,742.30

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Solution

The fourth proportional to 12,202.67, 18,253.89 and 9,742.30 is: 14,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.67 : 18,253.89 = 9,742.30 : x
  2. Step 2: Convert to fraction form
    12,202.67/18,253.89 = 9,742.30/x
  3. Step 3: Cross multiply
    12,202.67x = 18,253.89 × 9,742.30
  4. Step 4: Simplify right side
    12,202.67x = 177,834,826.91
  5. Step 5: Solve for x
    x = 177,834,826.91/12,202.67
  6. Step 6: Final answer
    x = 14,573.43

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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.