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Finding the Fourth Proportional to 13,855.73, 20,780.98 and 3,724.25

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Solution

The fourth proportional to 13,855.73, 20,780.98 and 3,724.25 is: 5,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.73 : 20,780.98 = 3,724.25 : x
  2. Step 2: Convert to fraction form
    13,855.73/20,780.98 = 3,724.25/x
  3. Step 3: Cross multiply
    13,855.73x = 20,780.98 × 3,724.25
  4. Step 4: Simplify right side
    13,855.73x = 77,393,564.77
  5. Step 5: Solve for x
    x = 77,393,564.77/13,855.73
  6. Step 6: Final answer
    x = 5,585.67

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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.