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Finding the Fourth Proportional to 13,902.54, 20,855.86 and 4,040.54

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Solution

The fourth proportional to 13,902.54, 20,855.86 and 4,040.54 is: 6,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.54 : 20,855.86 = 4,040.54 : x
  2. Step 2: Convert to fraction form
    13,902.54/20,855.86 = 4,040.54/x
  3. Step 3: Cross multiply
    13,902.54x = 20,855.86 × 4,040.54
  4. Step 4: Simplify right side
    13,902.54x = 84,268,936.56
  5. Step 5: Solve for x
    x = 84,268,936.56/13,902.54
  6. Step 6: Final answer
    x = 6,061.41

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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.