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Finding the Fourth Proportional to 27,900.28, 41,850.42 and 7,123.78

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Solution

The fourth proportional to 27,900.28, 41,850.42 and 7,123.78 is: 10,685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900.28 : 41,850.42 = 7,123.78 : x
  2. Step 2: Convert to fraction form
    27,900.28/41,850.42 = 7,123.78/x
  3. Step 3: Cross multiply
    27,900.28x = 41,850.42 × 7,123.78
  4. Step 4: Simplify right side
    27,900.28x = 298,133,184.99
  5. Step 5: Solve for x
    x = 298,133,184.99/27,900.28
  6. Step 6: Final answer
    x = 10,685.67

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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.