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Finding the Fourth Proportional to 27,398.88, 41,105.41 and 7,677.61

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Solution

The fourth proportional to 27,398.88, 41,105.41 and 7,677.61 is: 11,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.88 : 41,105.41 = 7,677.61 : x
  2. Step 2: Convert to fraction form
    27,398.88/41,105.41 = 7,677.61/x
  3. Step 3: Cross multiply
    27,398.88x = 41,105.41 × 7,677.61
  4. Step 4: Simplify right side
    27,398.88x = 315,591,184.91
  5. Step 5: Solve for x
    x = 315,591,184.91/27,398.88
  6. Step 6: Final answer
    x = 11,518.40

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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.