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Finding the Fourth Proportional to 25,728.47, 38,568.06 and 8,186.88

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Solution

The fourth proportional to 25,728.47, 38,568.06 and 8,186.88 is: 12,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.47 : 38,568.06 = 8,186.88 : x
  2. Step 2: Convert to fraction form
    25,728.47/38,568.06 = 8,186.88/x
  3. Step 3: Cross multiply
    25,728.47x = 38,568.06 × 8,186.88
  4. Step 4: Simplify right side
    25,728.47x = 315,752,079.05
  5. Step 5: Solve for x
    x = 315,752,079.05/25,728.47
  6. Step 6: Final answer
    x = 12,272.48

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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.