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Finding the Fourth Proportional to 27,842, 41,763.76 and 8,120.08

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Solution

The fourth proportional to 27,842, 41,763.76 and 8,120.08 is: 12,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842 : 41,763.76 = 8,120.08 : x
  2. Step 2: Convert to fraction form
    27,842/41,763.76 = 8,120.08/x
  3. Step 3: Cross multiply
    27,842x = 41,763.76 × 8,120.08
  4. Step 4: Simplify right side
    27,842x = 339,125,072.30
  5. Step 5: Solve for x
    x = 339,125,072.30/27,842
  6. Step 6: Final answer
    x = 12,180.34

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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.