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Finding the Fourth Proportional to 13,673.70, 20,511.72 and 3,813

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Solution

The fourth proportional to 13,673.70, 20,511.72 and 3,813 is: 5,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.70 : 20,511.72 = 3,813 : x
  2. Step 2: Convert to fraction form
    13,673.70/20,511.72 = 3,813/x
  3. Step 3: Cross multiply
    13,673.70x = 20,511.72 × 3,813
  4. Step 4: Simplify right side
    13,673.70x = 78,211,188.36
  5. Step 5: Solve for x
    x = 78,211,188.36/13,673.70
  6. Step 6: Final answer
    x = 5,719.83

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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.