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Finding the Fourth Proportional to 13,674.69, 20,513.19 and 3,813.98

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Solution

The fourth proportional to 13,674.69, 20,513.19 and 3,813.98 is: 5,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.69 : 20,513.19 = 3,813.98 : x
  2. Step 2: Convert to fraction form
    13,674.69/20,513.19 = 3,813.98/x
  3. Step 3: Cross multiply
    13,674.69x = 20,513.19 × 3,813.98
  4. Step 4: Simplify right side
    13,674.69x = 78,236,793.83
  5. Step 5: Solve for x
    x = 78,236,793.83/13,674.69
  6. Step 6: Final answer
    x = 5,721.28

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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.