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Finding the Fourth Proportional to 27,813.70, 41,724.60 and 9,089.20

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Solution

The fourth proportional to 27,813.70, 41,724.60 and 9,089.20 is: 13,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.70 : 41,724.60 = 9,089.20 : x
  2. Step 2: Convert to fraction form
    27,813.70/41,724.60 = 9,089.20/x
  3. Step 3: Cross multiply
    27,813.70x = 41,724.60 × 9,089.20
  4. Step 4: Simplify right side
    27,813.70x = 379,243,234.32
  5. Step 5: Solve for x
    x = 379,243,234.32/27,813.70
  6. Step 6: Final answer
    x = 13,635.12

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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.