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Finding the Fourth Proportional to 18,359.46, 27,549.84 and 7,828.92

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Solution

The fourth proportional to 18,359.46, 27,549.84 and 7,828.92 is: 11,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,359.46 : 27,549.84 = 7,828.92 : x
  2. Step 2: Convert to fraction form
    18,359.46/27,549.84 = 7,828.92/x
  3. Step 3: Cross multiply
    18,359.46x = 27,549.84 × 7,828.92
  4. Step 4: Simplify right side
    18,359.46x = 215,685,493.37
  5. Step 5: Solve for x
    x = 215,685,493.37/18,359.46
  6. Step 6: Final answer
    x = 11,747.92

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