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Finding the Fourth Proportional to 13,503, 20,253.48 and 4,738.50

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Solution

The fourth proportional to 13,503, 20,253.48 and 4,738.50 is: 7,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503 : 20,253.48 = 4,738.50 : x
  2. Step 2: Convert to fraction form
    13,503/20,253.48 = 4,738.50/x
  3. Step 3: Cross multiply
    13,503x = 20,253.48 × 4,738.50
  4. Step 4: Simplify right side
    13,503x = 95,971,114.98
  5. Step 5: Solve for x
    x = 95,971,114.98/13,503
  6. Step 6: Final answer
    x = 7,107.39

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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.