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Finding the Fourth Proportional to 27,856.80, 41,782.22 and 7,865.80

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Solution

The fourth proportional to 27,856.80, 41,782.22 and 7,865.80 is: 11,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.80 : 41,782.22 = 7,865.80 : x
  2. Step 2: Convert to fraction form
    27,856.80/41,782.22 = 7,865.80/x
  3. Step 3: Cross multiply
    27,856.80x = 41,782.22 × 7,865.80
  4. Step 4: Simplify right side
    27,856.80x = 328,650,586.08
  5. Step 5: Solve for x
    x = 328,650,586.08/27,856.80
  6. Step 6: Final answer
    x = 11,797.86

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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.