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Finding the Fourth Proportional to 8,092, 12,138.48 and 2,620

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Solution

The fourth proportional to 8,092, 12,138.48 and 2,620 is: 3,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092 : 12,138.48 = 2,620 : x
  2. Step 2: Convert to fraction form
    8,092/12,138.48 = 2,620/x
  3. Step 3: Cross multiply
    8,092x = 12,138.48 × 2,620
  4. Step 4: Simplify right side
    8,092x = 31,802,817.60
  5. Step 5: Solve for x
    x = 31,802,817.60/8,092
  6. Step 6: Final answer
    x = 3,930.16

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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.