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Finding the Fourth Proportional to 18,822.21, 28,231.78 and 6,341.96

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Solution

The fourth proportional to 18,822.21, 28,231.78 and 6,341.96 is: 9,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822.21 : 28,231.78 = 6,341.96 : x
  2. Step 2: Convert to fraction form
    18,822.21/28,231.78 = 6,341.96/x
  3. Step 3: Cross multiply
    18,822.21x = 28,231.78 × 6,341.96
  4. Step 4: Simplify right side
    18,822.21x = 179,044,758.08
  5. Step 5: Solve for x
    x = 179,044,758.08/18,822.21
  6. Step 6: Final answer
    x = 9,512.42

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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.