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Finding the Fourth Proportional to 13,998.94, 20,998.62 and 3,469

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Solution

The fourth proportional to 13,998.94, 20,998.62 and 3,469 is: 5,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.94 : 20,998.62 = 3,469 : x
  2. Step 2: Convert to fraction form
    13,998.94/20,998.62 = 3,469/x
  3. Step 3: Cross multiply
    13,998.94x = 20,998.62 × 3,469
  4. Step 4: Simplify right side
    13,998.94x = 72,844,212.78
  5. Step 5: Solve for x
    x = 72,844,212.78/13,998.94
  6. Step 6: Final answer
    x = 5,203.55

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1.5x scale

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.