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Finding the Fourth Proportional to 3,722.86, 5,112.17 and 3,329.74

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Solution

The fourth proportional to 3,722.86, 5,112.17 and 3,329.74 is: 4,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.86 : 5,112.17 = 3,329.74 : x
  2. Step 2: Convert to fraction form
    3,722.86/5,112.17 = 3,329.74/x
  3. Step 3: Cross multiply
    3,722.86x = 5,112.17 × 3,329.74
  4. Step 4: Simplify right side
    3,722.86x = 17,022,196.94
  5. Step 5: Solve for x
    x = 17,022,196.94/3,722.86
  6. Step 6: Final answer
    x = 4,572.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.