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Finding the Fourth Proportional to 3,092, 4,267.04 and 1,694.80

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Solution

The fourth proportional to 3,092, 4,267.04 and 1,694.80 is: 2,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092 : 4,267.04 = 1,694.80 : x
  2. Step 2: Convert to fraction form
    3,092/4,267.04 = 1,694.80/x
  3. Step 3: Cross multiply
    3,092x = 4,267.04 × 1,694.80
  4. Step 4: Simplify right side
    3,092x = 7,231,779.39
  5. Step 5: Solve for x
    x = 7,231,779.39/3,092
  6. Step 6: Final answer
    x = 2,338.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.