Home / 20,198.10-27,876.78-13,026

Finding the Fourth Proportional to 20,198.10, 27,876.78 and 13,026

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Solution

The fourth proportional to 20,198.10, 27,876.78 and 13,026 is: 17,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.10 : 27,876.78 = 13,026 : x
  2. Step 2: Convert to fraction form
    20,198.10/27,876.78 = 13,026/x
  3. Step 3: Cross multiply
    20,198.10x = 27,876.78 × 13,026
  4. Step 4: Simplify right side
    20,198.10x = 363,122,936.28
  5. Step 5: Solve for x
    x = 363,122,936.28/20,198.10
  6. Step 6: Final answer
    x = 17,978.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.