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Finding the Fourth Proportional to 12,324.72, 18,489.12 and 4,929.44

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Solution

The fourth proportional to 12,324.72, 18,489.12 and 4,929.44 is: 7,394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.72 : 18,489.12 = 4,929.44 : x
  2. Step 2: Convert to fraction form
    12,324.72/18,489.12 = 4,929.44/x
  3. Step 3: Cross multiply
    12,324.72x = 18,489.12 × 4,929.44
  4. Step 4: Simplify right side
    12,324.72x = 91,141,007.69
  5. Step 5: Solve for x
    x = 91,141,007.69/12,324.72
  6. Step 6: Final answer
    x = 7,394.98

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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.