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Finding the Fourth Proportional to 13,869, 20,801.97 and 3,480.75

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Solution

The fourth proportional to 13,869, 20,801.97 and 3,480.75 is: 5,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869 : 20,801.97 = 3,480.75 : x
  2. Step 2: Convert to fraction form
    13,869/20,801.97 = 3,480.75/x
  3. Step 3: Cross multiply
    13,869x = 20,801.97 × 3,480.75
  4. Step 4: Simplify right side
    13,869x = 72,406,457.08
  5. Step 5: Solve for x
    x = 72,406,457.08/13,869
  6. Step 6: Final answer
    x = 5,220.74

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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.