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Finding the Fourth Proportional to 27,978.74, 38,609.53 and 16,033.78

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Solution

The fourth proportional to 27,978.74, 38,609.53 and 16,033.78 is: 22,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.74 : 38,609.53 = 16,033.78 : x
  2. Step 2: Convert to fraction form
    27,978.74/38,609.53 = 16,033.78/x
  3. Step 3: Cross multiply
    27,978.74x = 38,609.53 × 16,033.78
  4. Step 4: Simplify right side
    27,978.74x = 619,056,709.92
  5. Step 5: Solve for x
    x = 619,056,709.92/27,978.74
  6. Step 6: Final answer
    x = 22,125.97

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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.