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Finding the Fourth Proportional to 13,755.76, 20,634.04 and 3,367.50

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Solution

The fourth proportional to 13,755.76, 20,634.04 and 3,367.50 is: 5,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.76 : 20,634.04 = 3,367.50 : x
  2. Step 2: Convert to fraction form
    13,755.76/20,634.04 = 3,367.50/x
  3. Step 3: Cross multiply
    13,755.76x = 20,634.04 × 3,367.50
  4. Step 4: Simplify right side
    13,755.76x = 69,485,129.70
  5. Step 5: Solve for x
    x = 69,485,129.70/13,755.76
  6. Step 6: Final answer
    x = 5,051.35

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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.