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Finding the Fourth Proportional to 19,879.88, 29,813.44 and 8,786.32

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Solution

The fourth proportional to 19,879.88, 29,813.44 and 8,786.32 is: 13,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.88 : 29,813.44 = 8,786.32 : x
  2. Step 2: Convert to fraction form
    19,879.88/29,813.44 = 8,786.32/x
  3. Step 3: Cross multiply
    19,879.88x = 29,813.44 × 8,786.32
  4. Step 4: Simplify right side
    19,879.88x = 261,950,536.53
  5. Step 5: Solve for x
    x = 261,950,536.53/19,879.88
  6. Step 6: Final answer
    x = 13,176.67

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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.