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Finding the Fourth Proportional to 13,503, 20,255.96 and 3,642.24

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Solution

The fourth proportional to 13,503, 20,255.96 and 3,642.24 is: 5,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503 : 20,255.96 = 3,642.24 : x
  2. Step 2: Convert to fraction form
    13,503/20,255.96 = 3,642.24/x
  3. Step 3: Cross multiply
    13,503x = 20,255.96 × 3,642.24
  4. Step 4: Simplify right side
    13,503x = 73,777,067.75
  5. Step 5: Solve for x
    x = 73,777,067.75/13,503
  6. Step 6: Final answer
    x = 5,463.75

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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.