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Finding the Fourth Proportional to 13,782.01, 20,672.29 and 3,919.99

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Solution

The fourth proportional to 13,782.01, 20,672.29 and 3,919.99 is: 5,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.01 : 20,672.29 = 3,919.99 : x
  2. Step 2: Convert to fraction form
    13,782.01/20,672.29 = 3,919.99/x
  3. Step 3: Cross multiply
    13,782.01x = 20,672.29 × 3,919.99
  4. Step 4: Simplify right side
    13,782.01x = 81,035,170.08
  5. Step 5: Solve for x
    x = 81,035,170.08/13,782.01
  6. Step 6: Final answer
    x = 5,879.78

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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.