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Finding the Fourth Proportional to 16,860.32, 25,278 and 8,086.88

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Solution

The fourth proportional to 16,860.32, 25,278 and 8,086.88 is: 12,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,860.32 : 25,278 = 8,086.88 : x
  2. Step 2: Convert to fraction form
    16,860.32/25,278 = 8,086.88/x
  3. Step 3: Cross multiply
    16,860.32x = 25,278 × 8,086.88
  4. Step 4: Simplify right side
    16,860.32x = 204,420,152.64
  5. Step 5: Solve for x
    x = 204,420,152.64/16,860.32
  6. Step 6: Final answer
    x = 12,124.33

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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.