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Finding the Fourth Proportional to 13,761, 20,641.50 and 3,372.84

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Solution

The fourth proportional to 13,761, 20,641.50 and 3,372.84 is: 5,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761 : 20,641.50 = 3,372.84 : x
  2. Step 2: Convert to fraction form
    13,761/20,641.50 = 3,372.84/x
  3. Step 3: Cross multiply
    13,761x = 20,641.50 × 3,372.84
  4. Step 4: Simplify right side
    13,761x = 69,620,476.86
  5. Step 5: Solve for x
    x = 69,620,476.86/13,761
  6. Step 6: Final answer
    x = 5,059.26

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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.