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Finding the Fourth Proportional to 20,245.84, 27,930.12 and 11,858.80

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Solution

The fourth proportional to 20,245.84, 27,930.12 and 11,858.80 is: 16,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,245.84 : 27,930.12 = 11,858.80 : x
  2. Step 2: Convert to fraction form
    20,245.84/27,930.12 = 11,858.80/x
  3. Step 3: Cross multiply
    20,245.84x = 27,930.12 × 11,858.80
  4. Step 4: Simplify right side
    20,245.84x = 331,217,707.06
  5. Step 5: Solve for x
    x = 331,217,707.06/20,245.84
  6. Step 6: Final answer
    x = 16,359.79

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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.