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Finding the Fourth Proportional to 2,634.22, 3,950.00 and 878.61

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Solution

The fourth proportional to 2,634.22, 3,950.00 and 878.61 is: 1,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.22 : 3,950.00 = 878.61 : x
  2. Step 2: Convert to fraction form
    2,634.22/3,950.00 = 878.61/x
  3. Step 3: Cross multiply
    2,634.22x = 3,950.00 × 878.61
  4. Step 4: Simplify right side
    2,634.22x = 3,470,505.11
  5. Step 5: Solve for x
    x = 3,470,505.11/2,634.22
  6. Step 6: Final answer
    x = 1,317.47

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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.