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Finding the Fourth Proportional to 27,815.48, 41,727.28 and 8,091.48

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Solution

The fourth proportional to 27,815.48, 41,727.28 and 8,091.48 is: 12,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815.48 : 41,727.28 = 8,091.48 : x
  2. Step 2: Convert to fraction form
    27,815.48/41,727.28 = 8,091.48/x
  3. Step 3: Cross multiply
    27,815.48x = 41,727.28 × 8,091.48
  4. Step 4: Simplify right side
    27,815.48x = 337,635,451.57
  5. Step 5: Solve for x
    x = 337,635,451.57/27,815.48
  6. Step 6: Final answer
    x = 12,138.40

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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.