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Finding the Fourth Proportional to 13,673.72, 20,511.74 and 3,813.01

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Solution

The fourth proportional to 13,673.72, 20,511.74 and 3,813.01 is: 5,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.72 : 20,511.74 = 3,813.01 : x
  2. Step 2: Convert to fraction form
    13,673.72/20,511.74 = 3,813.01/x
  3. Step 3: Cross multiply
    13,673.72x = 20,511.74 × 3,813.01
  4. Step 4: Simplify right side
    13,673.72x = 78,211,469.74
  5. Step 5: Solve for x
    x = 78,211,469.74/13,673.72
  6. Step 6: Final answer
    x = 5,719.84

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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.