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Finding the Fourth Proportional to 12,205.18, 18,273.18 and 8,032.64

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Solution

The fourth proportional to 12,205.18, 18,273.18 and 8,032.64 is: 12,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.18 : 18,273.18 = 8,032.64 : x
  2. Step 2: Convert to fraction form
    12,205.18/18,273.18 = 8,032.64/x
  3. Step 3: Cross multiply
    12,205.18x = 18,273.18 × 8,032.64
  4. Step 4: Simplify right side
    12,205.18x = 146,781,876.60
  5. Step 5: Solve for x
    x = 146,781,876.60/12,205.18
  6. Step 6: Final answer
    x = 12,026.20

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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.