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Finding the Fourth Proportional to 27,854.85, 41,777.49 and 7,865.73

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Solution

The fourth proportional to 27,854.85, 41,777.49 and 7,865.73 is: 11,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.85 : 41,777.49 = 7,865.73 : x
  2. Step 2: Convert to fraction form
    27,854.85/41,777.49 = 7,865.73/x
  3. Step 3: Cross multiply
    27,854.85x = 41,777.49 × 7,865.73
  4. Step 4: Simplify right side
    27,854.85x = 328,610,456.42
  5. Step 5: Solve for x
    x = 328,610,456.42/27,854.85
  6. Step 6: Final answer
    x = 11,797.24

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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.