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Finding the Fourth Proportional to 27,870.54, 41,800.56 and 7,879.88

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Solution

The fourth proportional to 27,870.54, 41,800.56 and 7,879.88 is: 11,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.54 : 41,800.56 = 7,879.88 : x
  2. Step 2: Convert to fraction form
    27,870.54/41,800.56 = 7,879.88/x
  3. Step 3: Cross multiply
    27,870.54x = 41,800.56 × 7,879.88
  4. Step 4: Simplify right side
    27,870.54x = 329,383,148.33
  5. Step 5: Solve for x
    x = 329,383,148.33/27,870.54
  6. Step 6: Final answer
    x = 11,818.33

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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.