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Finding the Fourth Proportional to 19,879.30, 29,822.60 and 6,553.09

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Solution

The fourth proportional to 19,879.30, 29,822.60 and 6,553.09 is: 9,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.30 : 29,822.60 = 6,553.09 : x
  2. Step 2: Convert to fraction form
    19,879.30/29,822.60 = 6,553.09/x
  3. Step 3: Cross multiply
    19,879.30x = 29,822.60 × 6,553.09
  4. Step 4: Simplify right side
    19,879.30x = 195,429,999.96
  5. Step 5: Solve for x
    x = 195,429,999.96/19,879.30
  6. Step 6: Final answer
    x = 9,830.83

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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.