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Finding the Fourth Proportional to 13,700.26, 18,906.48 and 7,412.76

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Solution

The fourth proportional to 13,700.26, 18,906.48 and 7,412.76 is: 10,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.26 : 18,906.48 = 7,412.76 : x
  2. Step 2: Convert to fraction form
    13,700.26/18,906.48 = 7,412.76/x
  3. Step 3: Cross multiply
    13,700.26x = 18,906.48 × 7,412.76
  4. Step 4: Simplify right side
    13,700.26x = 140,149,198.68
  5. Step 5: Solve for x
    x = 140,149,198.68/13,700.26
  6. Step 6: Final answer
    x = 10,229.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.