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Finding the Fourth Proportional to 2,633.17, 3,949.27 and 878

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Solution

The fourth proportional to 2,633.17, 3,949.27 and 878 is: 1,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.17 : 3,949.27 = 878 : x
  2. Step 2: Convert to fraction form
    2,633.17/3,949.27 = 878/x
  3. Step 3: Cross multiply
    2,633.17x = 3,949.27 × 878
  4. Step 4: Simplify right side
    2,633.17x = 3,467,459.06
  5. Step 5: Solve for x
    x = 3,467,459.06/2,633.17
  6. Step 6: Final answer
    x = 1,316.84

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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.