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Finding the Fourth Proportional to 20,249.78, 27,947.77 and 12,290.47

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Solution

The fourth proportional to 20,249.78, 27,947.77 and 12,290.47 is: 16,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,249.78 : 27,947.77 = 12,290.47 : x
  2. Step 2: Convert to fraction form
    20,249.78/27,947.77 = 12,290.47/x
  3. Step 3: Cross multiply
    20,249.78x = 27,947.77 × 12,290.47
  4. Step 4: Simplify right side
    20,249.78x = 343,491,228.75
  5. Step 5: Solve for x
    x = 343,491,228.75/20,249.78
  6. Step 6: Final answer
    x = 16,962.71

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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.