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Finding the Fourth Proportional to 12,696, 19,044 and 5,400

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Solution

The fourth proportional to 12,696, 19,044 and 5,400 is: 8,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696 : 19,044 = 5,400 : x
  2. Step 2: Convert to fraction form
    12,696/19,044 = 5,400/x
  3. Step 3: Cross multiply
    12,696x = 19,044 × 5,400
  4. Step 4: Simplify right side
    12,696x = 102,837,600
  5. Step 5: Solve for x
    x = 102,837,600/12,696
  6. Step 6: Final answer
    x = 8,100

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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.