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Finding the Fourth Proportional to 13,640.86, 20,452.51 and 5,748.49

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Solution

The fourth proportional to 13,640.86, 20,452.51 and 5,748.49 is: 8,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.86 : 20,452.51 = 5,748.49 : x
  2. Step 2: Convert to fraction form
    13,640.86/20,452.51 = 5,748.49/x
  3. Step 3: Cross multiply
    13,640.86x = 20,452.51 × 5,748.49
  4. Step 4: Simplify right side
    13,640.86x = 117,571,049.21
  5. Step 5: Solve for x
    x = 117,571,049.21/13,640.86
  6. Step 6: Final answer
    x = 8,619.03

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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.