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Finding the Fourth Proportional to 3,726.99, 5,142.69 and 2,234.61

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Solution

The fourth proportional to 3,726.99, 5,142.69 and 2,234.61 is: 3,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.99 : 5,142.69 = 2,234.61 : x
  2. Step 2: Convert to fraction form
    3,726.99/5,142.69 = 2,234.61/x
  3. Step 3: Cross multiply
    3,726.99x = 5,142.69 × 2,234.61
  4. Step 4: Simplify right side
    3,726.99x = 11,491,906.50
  5. Step 5: Solve for x
    x = 11,491,906.50/3,726.99
  6. Step 6: Final answer
    x = 3,083.43

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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.