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Finding the Fourth Proportional to 15,578.84, 23,375.12 and 8,181.58

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Solution

The fourth proportional to 15,578.84, 23,375.12 and 8,181.58 is: 12,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.84 : 23,375.12 = 8,181.58 : x
  2. Step 2: Convert to fraction form
    15,578.84/23,375.12 = 8,181.58/x
  3. Step 3: Cross multiply
    15,578.84x = 23,375.12 × 8,181.58
  4. Step 4: Simplify right side
    15,578.84x = 191,245,414.29
  5. Step 5: Solve for x
    x = 191,245,414.29/15,578.84
  6. Step 6: Final answer
    x = 12,275.97

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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.