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Finding the Fourth Proportional to 3,929.50, 5,422.71 and 2,273.50

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Solution

The fourth proportional to 3,929.50, 5,422.71 and 2,273.50 is: 3,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.50 : 5,422.71 = 2,273.50 : x
  2. Step 2: Convert to fraction form
    3,929.50/5,422.71 = 2,273.50/x
  3. Step 3: Cross multiply
    3,929.50x = 5,422.71 × 2,273.50
  4. Step 4: Simplify right side
    3,929.50x = 12,328,531.19
  5. Step 5: Solve for x
    x = 12,328,531.19/3,929.50
  6. Step 6: Final answer
    x = 3,137.43

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