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Finding the Fourth Proportional to 19,800, 29,676.30 and 13,844.37

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Solution

The fourth proportional to 19,800, 29,676.30 and 13,844.37 is: 20,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800 : 29,676.30 = 13,844.37 : x
  2. Step 2: Convert to fraction form
    19,800/29,676.30 = 13,844.37/x
  3. Step 3: Cross multiply
    19,800x = 29,676.30 × 13,844.37
  4. Step 4: Simplify right side
    19,800x = 410,849,677.43
  5. Step 5: Solve for x
    x = 410,849,677.43/19,800
  6. Step 6: Final answer
    x = 20,749.98

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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.