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Finding the Fourth Proportional to 13,224, 18,249.12 and 7,635

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Solution

The fourth proportional to 13,224, 18,249.12 and 7,635 is: 10,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224 : 18,249.12 = 7,635 : x
  2. Step 2: Convert to fraction form
    13,224/18,249.12 = 7,635/x
  3. Step 3: Cross multiply
    13,224x = 18,249.12 × 7,635
  4. Step 4: Simplify right side
    13,224x = 139,332,031.20
  5. Step 5: Solve for x
    x = 139,332,031.20/13,224
  6. Step 6: Final answer
    x = 10,536.30

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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.