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Finding the Fourth Proportional to 20,682, 28,539 and 11,726.64

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Solution

The fourth proportional to 20,682, 28,539 and 11,726.64 is: 16,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682 : 28,539 = 11,726.64 : x
  2. Step 2: Convert to fraction form
    20,682/28,539 = 11,726.64/x
  3. Step 3: Cross multiply
    20,682x = 28,539 × 11,726.64
  4. Step 4: Simplify right side
    20,682x = 334,666,578.96
  5. Step 5: Solve for x
    x = 334,666,578.96/20,682
  6. Step 6: Final answer
    x = 16,181.54

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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.