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Finding the Fourth Proportional to 27,754.66, 41,645.65 and 12,961.42

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Solution

The fourth proportional to 27,754.66, 41,645.65 and 12,961.42 is: 19,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.66 : 41,645.65 = 12,961.42 : x
  2. Step 2: Convert to fraction form
    27,754.66/41,645.65 = 12,961.42/x
  3. Step 3: Cross multiply
    27,754.66x = 41,645.65 × 12,961.42
  4. Step 4: Simplify right side
    27,754.66x = 539,786,760.82
  5. Step 5: Solve for x
    x = 539,786,760.82/27,754.66
  6. Step 6: Final answer
    x = 19,448.51

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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.