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Finding the Fourth Proportional to 9,152, 13,728 and 3,680

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Solution

The fourth proportional to 9,152, 13,728 and 3,680 is: 5,520

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152 : 13,728 = 3,680 : x
  2. Step 2: Convert to fraction form
    9,152/13,728 = 3,680/x
  3. Step 3: Cross multiply
    9,152x = 13,728 × 3,680
  4. Step 4: Simplify right side
    9,152x = 50,519,040
  5. Step 5: Solve for x
    x = 50,519,040/9,152
  6. Step 6: Final answer
    x = 5,520

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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.