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Finding the Fourth Proportional to 3,808, 5,714.56 and 1,376

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Solution

The fourth proportional to 3,808, 5,714.56 and 1,376 is: 2,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808 : 5,714.56 = 1,376 : x
  2. Step 2: Convert to fraction form
    3,808/5,714.56 = 1,376/x
  3. Step 3: Cross multiply
    3,808x = 5,714.56 × 1,376
  4. Step 4: Simplify right side
    3,808x = 7,863,234.56
  5. Step 5: Solve for x
    x = 7,863,234.56/3,808
  6. Step 6: Final answer
    x = 2,064.93

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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.