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Finding the Fourth Proportional to 28,608, 39,465.60 and 20,229.12

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Solution

The fourth proportional to 28,608, 39,465.60 and 20,229.12 is: 27,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,608 : 39,465.60 = 20,229.12 : x
  2. Step 2: Convert to fraction form
    28,608/39,465.60 = 20,229.12/x
  3. Step 3: Cross multiply
    28,608x = 39,465.60 × 20,229.12
  4. Step 4: Simplify right side
    28,608x = 798,354,358.27
  5. Step 5: Solve for x
    x = 798,354,358.27/28,608
  6. Step 6: Final answer
    x = 27,906.68

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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.