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Finding the Fourth Proportional to 20,249.65, 27,932.80 and 12,177.68

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Solution

The fourth proportional to 20,249.65, 27,932.80 and 12,177.68 is: 16,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,249.65 : 27,932.80 = 12,177.68 : x
  2. Step 2: Convert to fraction form
    20,249.65/27,932.80 = 12,177.68/x
  3. Step 3: Cross multiply
    20,249.65x = 27,932.80 × 12,177.68
  4. Step 4: Simplify right side
    20,249.65x = 340,156,699.90
  5. Step 5: Solve for x
    x = 340,156,699.90/20,249.65
  6. Step 6: Final answer
    x = 16,798.15

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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.