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Finding the Fourth Proportional to 25,978.03, 38,939.09 and 11,193.91

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Solution

The fourth proportional to 25,978.03, 38,939.09 and 11,193.91 is: 16,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.03 : 38,939.09 = 11,193.91 : x
  2. Step 2: Convert to fraction form
    25,978.03/38,939.09 = 11,193.91/x
  3. Step 3: Cross multiply
    25,978.03x = 38,939.09 × 11,193.91
  4. Step 4: Simplify right side
    25,978.03x = 435,880,668.94
  5. Step 5: Solve for x
    x = 435,880,668.94/25,978.03
  6. Step 6: Final answer
    x = 16,778.82

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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.