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Finding the Fourth Proportional to 13,674.62, 20,509.50 and 3,813.96

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Solution

The fourth proportional to 13,674.62, 20,509.50 and 3,813.96 is: 5,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.62 : 20,509.50 = 3,813.96 : x
  2. Step 2: Convert to fraction form
    13,674.62/20,509.50 = 3,813.96/x
  3. Step 3: Cross multiply
    13,674.62x = 20,509.50 × 3,813.96
  4. Step 4: Simplify right side
    13,674.62x = 78,222,412.62
  5. Step 5: Solve for x
    x = 78,222,412.62/13,674.62
  6. Step 6: Final answer
    x = 5,720.26

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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.