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Finding the Fourth Proportional to 5,092.71, 7,639.82 and 1,805.52

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Solution

The fourth proportional to 5,092.71, 7,639.82 and 1,805.52 is: 2,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.71 : 7,639.82 = 1,805.52 : x
  2. Step 2: Convert to fraction form
    5,092.71/7,639.82 = 1,805.52/x
  3. Step 3: Cross multiply
    5,092.71x = 7,639.82 × 1,805.52
  4. Step 4: Simplify right side
    5,092.71x = 13,793,874.20
  5. Step 5: Solve for x
    x = 13,793,874.20/5,092.71
  6. Step 6: Final answer
    x = 2,708.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.