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Finding the Fourth Proportional to 27,871.64, 41,807.30 and 6,811.79

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Solution

The fourth proportional to 27,871.64, 41,807.30 and 6,811.79 is: 10,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.64 : 41,807.30 = 6,811.79 : x
  2. Step 2: Convert to fraction form
    27,871.64/41,807.30 = 6,811.79/x
  3. Step 3: Cross multiply
    27,871.64x = 41,807.30 × 6,811.79
  4. Step 4: Simplify right side
    27,871.64x = 284,782,540.14
  5. Step 5: Solve for x
    x = 284,782,540.14/27,871.64
  6. Step 6: Final answer
    x = 10,217.65

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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.