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Finding the Fourth Proportional to 28,600, 39,469.62 and 16,028.80

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Solution

The fourth proportional to 28,600, 39,469.62 and 16,028.80 is: 22,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,600 : 39,469.62 = 16,028.80 : x
  2. Step 2: Convert to fraction form
    28,600/39,469.62 = 16,028.80/x
  3. Step 3: Cross multiply
    28,600x = 39,469.62 × 16,028.80
  4. Step 4: Simplify right side
    28,600x = 632,650,645.06
  5. Step 5: Solve for x
    x = 632,650,645.06/28,600
  6. Step 6: Final answer
    x = 22,120.65

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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.