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Finding the Fourth Proportional to 21,879.48, 32,819.20 and 6,297.08

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Solution

The fourth proportional to 21,879.48, 32,819.20 and 6,297.08 is: 9,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,879.48 : 32,819.20 = 6,297.08 : x
  2. Step 2: Convert to fraction form
    21,879.48/32,819.20 = 6,297.08/x
  3. Step 3: Cross multiply
    21,879.48x = 32,819.20 × 6,297.08
  4. Step 4: Simplify right side
    21,879.48x = 206,665,127.94
  5. Step 5: Solve for x
    x = 206,665,127.94/21,879.48
  6. Step 6: Final answer
    x = 9,445.61

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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.