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Finding the Fourth Proportional to 11,756.80, 17,635.20 and 9,161.68

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Solution

The fourth proportional to 11,756.80, 17,635.20 and 9,161.68 is: 13,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.80 : 17,635.20 = 9,161.68 : x
  2. Step 2: Convert to fraction form
    11,756.80/17,635.20 = 9,161.68/x
  3. Step 3: Cross multiply
    11,756.80x = 17,635.20 × 9,161.68
  4. Step 4: Simplify right side
    11,756.80x = 161,568,059.14
  5. Step 5: Solve for x
    x = 161,568,059.14/11,756.80
  6. Step 6: Final answer
    x = 13,742.52

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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.