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Finding the Fourth Proportional to 13,940, 20,911.95 and 4,079.99

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Solution

The fourth proportional to 13,940, 20,911.95 and 4,079.99 is: 6,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940 : 20,911.95 = 4,079.99 : x
  2. Step 2: Convert to fraction form
    13,940/20,911.95 = 4,079.99/x
  3. Step 3: Cross multiply
    13,940x = 20,911.95 × 4,079.99
  4. Step 4: Simplify right side
    13,940x = 85,320,546.88
  5. Step 5: Solve for x
    x = 85,320,546.88/13,940
  6. Step 6: Final answer
    x = 6,120.56

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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.