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Finding the Fourth Proportional to 25,809.21, 38,676.69 and 19,863

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Solution

The fourth proportional to 25,809.21, 38,676.69 and 19,863 is: 29,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.21 : 38,676.69 = 19,863 : x
  2. Step 2: Convert to fraction form
    25,809.21/38,676.69 = 19,863/x
  3. Step 3: Cross multiply
    25,809.21x = 38,676.69 × 19,863
  4. Step 4: Simplify right side
    25,809.21x = 768,235,093.47
  5. Step 5: Solve for x
    x = 768,235,093.47/25,809.21
  6. Step 6: Final answer
    x = 29,765.93

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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.