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Finding the Fourth Proportional to 13,152, 19,728 and 3,424

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Solution

The fourth proportional to 13,152, 19,728 and 3,424 is: 5,136

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152 : 19,728 = 3,424 : x
  2. Step 2: Convert to fraction form
    13,152/19,728 = 3,424/x
  3. Step 3: Cross multiply
    13,152x = 19,728 × 3,424
  4. Step 4: Simplify right side
    13,152x = 67,548,672
  5. Step 5: Solve for x
    x = 67,548,672/13,152
  6. Step 6: Final answer
    x = 5,136

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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.