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Finding the Fourth Proportional to 13,793.25, 20,689.93 and 3,405

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Solution

The fourth proportional to 13,793.25, 20,689.93 and 3,405 is: 5,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.25 : 20,689.93 = 3,405 : x
  2. Step 2: Convert to fraction form
    13,793.25/20,689.93 = 3,405/x
  3. Step 3: Cross multiply
    13,793.25x = 20,689.93 × 3,405
  4. Step 4: Simplify right side
    13,793.25x = 70,449,203.14
  5. Step 5: Solve for x
    x = 70,449,203.14/13,793.25
  6. Step 6: Final answer
    x = 5,107.51

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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.