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Finding the Fourth Proportional to 27,219.38, 40,749.84 and 20,230.40

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Solution

The fourth proportional to 27,219.38, 40,749.84 and 20,230.40 is: 30,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,219.38 : 40,749.84 = 20,230.40 : x
  2. Step 2: Convert to fraction form
    27,219.38/40,749.84 = 20,230.40/x
  3. Step 3: Cross multiply
    27,219.38x = 40,749.84 × 20,230.40
  4. Step 4: Simplify right side
    27,219.38x = 824,385,563.14
  5. Step 5: Solve for x
    x = 824,385,563.14/27,219.38
  6. Step 6: Final answer
    x = 30,286.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.