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Finding the Fourth Proportional to 18,502.56, 27,768.24 and 6,819.12

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Solution

The fourth proportional to 18,502.56, 27,768.24 and 6,819.12 is: 10,233.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,502.56 : 27,768.24 = 6,819.12 : x
  2. Step 2: Convert to fraction form
    18,502.56/27,768.24 = 6,819.12/x
  3. Step 3: Cross multiply
    18,502.56x = 27,768.24 × 6,819.12
  4. Step 4: Simplify right side
    18,502.56x = 189,354,960.75
  5. Step 5: Solve for x
    x = 189,354,960.75/18,502.56
  6. Step 6: Final answer
    x = 10,233.99

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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.