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Finding the Fourth Proportional to 25,889.83, 38,834.74 and 8,119.85

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Solution

The fourth proportional to 25,889.83, 38,834.74 and 8,119.85 is: 12,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.83 : 38,834.74 = 8,119.85 : x
  2. Step 2: Convert to fraction form
    25,889.83/38,834.74 = 8,119.85/x
  3. Step 3: Cross multiply
    25,889.83x = 38,834.74 × 8,119.85
  4. Step 4: Simplify right side
    25,889.83x = 315,332,079.57
  5. Step 5: Solve for x
    x = 315,332,079.57/25,889.83
  6. Step 6: Final answer
    x = 12,179.77

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1.5x scale

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.