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Finding the Fourth Proportional to 25,668.66, 38,504.34 and 8,139.85

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Solution

The fourth proportional to 25,668.66, 38,504.34 and 8,139.85 is: 12,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,668.66 : 38,504.34 = 8,139.85 : x
  2. Step 2: Convert to fraction form
    25,668.66/38,504.34 = 8,139.85/x
  3. Step 3: Cross multiply
    25,668.66x = 38,504.34 × 8,139.85
  4. Step 4: Simplify right side
    25,668.66x = 313,419,551.95
  5. Step 5: Solve for x
    x = 313,419,551.95/25,668.66
  6. Step 6: Final answer
    x = 12,210.20

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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.