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Finding the Fourth Proportional to 27,879.56, 41,821.68 and 7,103

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Solution

The fourth proportional to 27,879.56, 41,821.68 and 7,103 is: 10,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.56 : 41,821.68 = 7,103 : x
  2. Step 2: Convert to fraction form
    27,879.56/41,821.68 = 7,103/x
  3. Step 3: Cross multiply
    27,879.56x = 41,821.68 × 7,103
  4. Step 4: Simplify right side
    27,879.56x = 297,059,393.04
  5. Step 5: Solve for x
    x = 297,059,393.04/27,879.56
  6. Step 6: Final answer
    x = 10,655.10

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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.