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Finding the Fourth Proportional to 19,879.44, 29,827.64 and 7,408.68

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Solution

The fourth proportional to 19,879.44, 29,827.64 and 7,408.68 is: 11,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.44 : 29,827.64 = 7,408.68 : x
  2. Step 2: Convert to fraction form
    19,879.44/29,827.64 = 7,408.68/x
  3. Step 3: Cross multiply
    19,879.44x = 29,827.64 × 7,408.68
  4. Step 4: Simplify right side
    19,879.44x = 220,983,439.92
  5. Step 5: Solve for x
    x = 220,983,439.92/19,879.44
  6. Step 6: Final answer
    x = 11,116.18

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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.