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Finding the Fourth Proportional to 25,963.58, 38,949.11 and 8,188.20

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Solution

The fourth proportional to 25,963.58, 38,949.11 and 8,188.20 is: 12,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,963.58 : 38,949.11 = 8,188.20 : x
  2. Step 2: Convert to fraction form
    25,963.58/38,949.11 = 8,188.20/x
  3. Step 3: Cross multiply
    25,963.58x = 38,949.11 × 8,188.20
  4. Step 4: Simplify right side
    25,963.58x = 318,923,122.97
  5. Step 5: Solve for x
    x = 318,923,122.97/25,963.58
  6. Step 6: Final answer
    x = 12,283.48

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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.