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Finding the Fourth Proportional to 8,367.82, 12,553.64 and 2,821.02

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Solution

The fourth proportional to 8,367.82, 12,553.64 and 2,821.02 is: 4,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.82 : 12,553.64 = 2,821.02 : x
  2. Step 2: Convert to fraction form
    8,367.82/12,553.64 = 2,821.02/x
  3. Step 3: Cross multiply
    8,367.82x = 12,553.64 × 2,821.02
  4. Step 4: Simplify right side
    8,367.82x = 35,414,069.51
  5. Step 5: Solve for x
    x = 35,414,069.51/8,367.82
  6. Step 6: Final answer
    x = 4,232.17

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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.