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Finding the Fourth Proportional to 13,453.50, 20,180.52 and 4,219.50

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Solution

The fourth proportional to 13,453.50, 20,180.52 and 4,219.50 is: 6,329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.50 : 20,180.52 = 4,219.50 : x
  2. Step 2: Convert to fraction form
    13,453.50/20,180.52 = 4,219.50/x
  3. Step 3: Cross multiply
    13,453.50x = 20,180.52 × 4,219.50
  4. Step 4: Simplify right side
    13,453.50x = 85,151,704.14
  5. Step 5: Solve for x
    x = 85,151,704.14/13,453.50
  6. Step 6: Final answer
    x = 6,329.33

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1.5x scale

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.