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Finding the Fourth Proportional to 25,668, 38,517.36 and 11,076

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Solution

The fourth proportional to 25,668, 38,517.36 and 11,076 is: 16,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,668 : 38,517.36 = 11,076 : x
  2. Step 2: Convert to fraction form
    25,668/38,517.36 = 11,076/x
  3. Step 3: Cross multiply
    25,668x = 38,517.36 × 11,076
  4. Step 4: Simplify right side
    25,668x = 426,618,279.36
  5. Step 5: Solve for x
    x = 426,618,279.36/25,668
  6. Step 6: Final answer
    x = 16,620.63

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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.