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Finding the Fourth Proportional to 27,778.86, 38,333.84 and 15,846

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Solution

The fourth proportional to 27,778.86, 38,333.84 and 15,846 is: 21,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.86 : 38,333.84 = 15,846 : x
  2. Step 2: Convert to fraction form
    27,778.86/38,333.84 = 15,846/x
  3. Step 3: Cross multiply
    27,778.86x = 38,333.84 × 15,846
  4. Step 4: Simplify right side
    27,778.86x = 607,438,028.64
  5. Step 5: Solve for x
    x = 607,438,028.64/27,778.86
  6. Step 6: Final answer
    x = 21,866.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.