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Finding the Fourth Proportional to 27,209.70, 40,815.36 and 7,488.54

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Solution

The fourth proportional to 27,209.70, 40,815.36 and 7,488.54 is: 11,233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,209.70 : 40,815.36 = 7,488.54 : x
  2. Step 2: Convert to fraction form
    27,209.70/40,815.36 = 7,488.54/x
  3. Step 3: Cross multiply
    27,209.70x = 40,815.36 × 7,488.54
  4. Step 4: Simplify right side
    27,209.70x = 305,647,455.97
  5. Step 5: Solve for x
    x = 305,647,455.97/27,209.70
  6. Step 6: Final answer
    x = 11,233.03

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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.