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Finding the Fourth Proportional to 20,421, 28,180.44 and 11,469.48

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Solution

The fourth proportional to 20,421, 28,180.44 and 11,469.48 is: 15,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421 : 28,180.44 = 11,469.48 : x
  2. Step 2: Convert to fraction form
    20,421/28,180.44 = 11,469.48/x
  3. Step 3: Cross multiply
    20,421x = 28,180.44 × 11,469.48
  4. Step 4: Simplify right side
    20,421x = 323,214,992.97
  5. Step 5: Solve for x
    x = 323,214,992.97/20,421
  6. Step 6: Final answer
    x = 15,827.58

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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.