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Finding the Fourth Proportional to 20,580, 28,400.40 and 12,198.12

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Solution

The fourth proportional to 20,580, 28,400.40 and 12,198.12 is: 16,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580 : 28,400.40 = 12,198.12 : x
  2. Step 2: Convert to fraction form
    20,580/28,400.40 = 12,198.12/x
  3. Step 3: Cross multiply
    20,580x = 28,400.40 × 12,198.12
  4. Step 4: Simplify right side
    20,580x = 346,431,487.25
  5. Step 5: Solve for x
    x = 346,431,487.25/20,580
  6. Step 6: Final answer
    x = 16,833.41

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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.