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Finding the Fourth Proportional to 6,874.42, 10,310.32 and 1,942.88

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Solution

The fourth proportional to 6,874.42, 10,310.32 and 1,942.88 is: 2,913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.42 : 10,310.32 = 1,942.88 : x
  2. Step 2: Convert to fraction form
    6,874.42/10,310.32 = 1,942.88/x
  3. Step 3: Cross multiply
    6,874.42x = 10,310.32 × 1,942.88
  4. Step 4: Simplify right side
    6,874.42x = 20,031,714.52
  5. Step 5: Solve for x
    x = 20,031,714.52/6,874.42
  6. Step 6: Final answer
    x = 2,913.95

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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.