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Finding the Fourth Proportional to 13,902.42, 20,855.68 and 4,040.42

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Solution

The fourth proportional to 13,902.42, 20,855.68 and 4,040.42 is: 6,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.42 : 20,855.68 = 4,040.42 : x
  2. Step 2: Convert to fraction form
    13,902.42/20,855.68 = 4,040.42/x
  3. Step 3: Cross multiply
    13,902.42x = 20,855.68 × 4,040.42
  4. Step 4: Simplify right side
    13,902.42x = 84,265,706.59
  5. Step 5: Solve for x
    x = 84,265,706.59/13,902.42
  6. Step 6: Final answer
    x = 6,061.23

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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.