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Finding the Fourth Proportional to 27,709.86, 41,555.34 and 7,983.12

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Solution

The fourth proportional to 27,709.86, 41,555.34 and 7,983.12 is: 11,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.86 : 41,555.34 = 7,983.12 : x
  2. Step 2: Convert to fraction form
    27,709.86/41,555.34 = 7,983.12/x
  3. Step 3: Cross multiply
    27,709.86x = 41,555.34 × 7,983.12
  4. Step 4: Simplify right side
    27,709.86x = 331,741,265.86
  5. Step 5: Solve for x
    x = 331,741,265.86/27,709.86
  6. Step 6: Final answer
    x = 11,971.96

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1.5x scale

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.