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Finding the Fourth Proportional to 13,782.58, 20,674.10 and 3,922.11

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Solution

The fourth proportional to 13,782.58, 20,674.10 and 3,922.11 is: 5,883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.58 : 20,674.10 = 3,922.11 : x
  2. Step 2: Convert to fraction form
    13,782.58/20,674.10 = 3,922.11/x
  3. Step 3: Cross multiply
    13,782.58x = 20,674.10 × 3,922.11
  4. Step 4: Simplify right side
    13,782.58x = 81,086,104.16
  5. Step 5: Solve for x
    x = 81,086,104.16/13,782.58
  6. Step 6: Final answer
    x = 5,883.23

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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.