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Finding the Fourth Proportional to 13,959.54, 20,939.31 and 4,105.74

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Solution

The fourth proportional to 13,959.54, 20,939.31 and 4,105.74 is: 6,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.54 : 20,939.31 = 4,105.74 : x
  2. Step 2: Convert to fraction form
    13,959.54/20,939.31 = 4,105.74/x
  3. Step 3: Cross multiply
    13,959.54x = 20,939.31 × 4,105.74
  4. Step 4: Simplify right side
    13,959.54x = 85,971,362.64
  5. Step 5: Solve for x
    x = 85,971,362.64/13,959.54
  6. Step 6: Final answer
    x = 6,158.61

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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.