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Finding the Fourth Proportional to 6,936, 10,404 and 2,072

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Solution

The fourth proportional to 6,936, 10,404 and 2,072 is: 3,108

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936 : 10,404 = 2,072 : x
  2. Step 2: Convert to fraction form
    6,936/10,404 = 2,072/x
  3. Step 3: Cross multiply
    6,936x = 10,404 × 2,072
  4. Step 4: Simplify right side
    6,936x = 21,557,088
  5. Step 5: Solve for x
    x = 21,557,088/6,936
  6. Step 6: Final answer
    x = 3,108

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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.