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Finding the Fourth Proportional to 20,750, 28,635 and 13,298

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Solution

The fourth proportional to 20,750, 28,635 and 13,298 is: 18,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,750 : 28,635 = 13,298 : x
  2. Step 2: Convert to fraction form
    20,750/28,635 = 13,298/x
  3. Step 3: Cross multiply
    20,750x = 28,635 × 13,298
  4. Step 4: Simplify right side
    20,750x = 380,788,230
  5. Step 5: Solve for x
    x = 380,788,230/20,750
  6. Step 6: Final answer
    x = 18,351.24

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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.