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Finding the Fourth Proportional to 20,829.20, 28,745.01 and 11,397.78

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Solution

The fourth proportional to 20,829.20, 28,745.01 and 11,397.78 is: 15,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829.20 : 28,745.01 = 11,397.78 : x
  2. Step 2: Convert to fraction form
    20,829.20/28,745.01 = 11,397.78/x
  3. Step 3: Cross multiply
    20,829.20x = 28,745.01 × 11,397.78
  4. Step 4: Simplify right side
    20,829.20x = 327,629,300.08
  5. Step 5: Solve for x
    x = 327,629,300.08/20,829.20
  6. Step 6: Final answer
    x = 15,729.33

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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.