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Finding the Fourth Proportional to 12,096, 18,144 and 4,805.12

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Solution

The fourth proportional to 12,096, 18,144 and 4,805.12 is: 7,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096 : 18,144 = 4,805.12 : x
  2. Step 2: Convert to fraction form
    12,096/18,144 = 4,805.12/x
  3. Step 3: Cross multiply
    12,096x = 18,144 × 4,805.12
  4. Step 4: Simplify right side
    12,096x = 87,184,097.28
  5. Step 5: Solve for x
    x = 87,184,097.28/12,096
  6. Step 6: Final answer
    x = 7,207.68

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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.