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Finding the Fourth Proportional to 12,216.61, 18,324.96 and 2,982.61

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Solution

The fourth proportional to 12,216.61, 18,324.96 and 2,982.61 is: 4,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.61 : 18,324.96 = 2,982.61 : x
  2. Step 2: Convert to fraction form
    12,216.61/18,324.96 = 2,982.61/x
  3. Step 3: Cross multiply
    12,216.61x = 18,324.96 × 2,982.61
  4. Step 4: Simplify right side
    12,216.61x = 54,656,208.95
  5. Step 5: Solve for x
    x = 54,656,208.95/12,216.61
  6. Step 6: Final answer
    x = 4,473.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.