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Finding the Fourth Proportional to 4,800, 7,200 and 1,152

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Solution

The fourth proportional to 4,800, 7,200 and 1,152 is: 1,728

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800 : 7,200 = 1,152 : x
  2. Step 2: Convert to fraction form
    4,800/7,200 = 1,152/x
  3. Step 3: Cross multiply
    4,800x = 7,200 × 1,152
  4. Step 4: Simplify right side
    4,800x = 8,294,400
  5. Step 5: Solve for x
    x = 8,294,400/4,800
  6. Step 6: Final answer
    x = 1,728

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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.