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Finding the Fourth Proportional to 13,889.85, 20,834.19 and 5,005.41

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Solution

The fourth proportional to 13,889.85, 20,834.19 and 5,005.41 is: 7,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.85 : 20,834.19 = 5,005.41 : x
  2. Step 2: Convert to fraction form
    13,889.85/20,834.19 = 5,005.41/x
  3. Step 3: Cross multiply
    13,889.85x = 20,834.19 × 5,005.41
  4. Step 4: Simplify right side
    13,889.85x = 104,283,662.97
  5. Step 5: Solve for x
    x = 104,283,662.97/13,889.85
  6. Step 6: Final answer
    x = 7,507.90

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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.