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Finding the Fourth Proportional to 5,092.27, 7,638.60 and 1,805.69

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Solution

The fourth proportional to 5,092.27, 7,638.60 and 1,805.69 is: 2,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.27 : 7,638.60 = 1,805.69 : x
  2. Step 2: Convert to fraction form
    5,092.27/7,638.60 = 1,805.69/x
  3. Step 3: Cross multiply
    5,092.27x = 7,638.60 × 1,805.69
  4. Step 4: Simplify right side
    5,092.27x = 13,792,969.50
  5. Step 5: Solve for x
    x = 13,792,969.50/5,092.27
  6. Step 6: Final answer
    x = 2,708.61

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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.