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Finding the Fourth Proportional to 2,714.46, 3,747.74 and 1,819.35

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Solution

The fourth proportional to 2,714.46, 3,747.74 and 1,819.35 is: 2,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.46 : 3,747.74 = 1,819.35 : x
  2. Step 2: Convert to fraction form
    2,714.46/3,747.74 = 1,819.35/x
  3. Step 3: Cross multiply
    2,714.46x = 3,747.74 × 1,819.35
  4. Step 4: Simplify right side
    2,714.46x = 6,818,455.32
  5. Step 5: Solve for x
    x = 6,818,455.32/2,714.46
  6. Step 6: Final answer
    x = 2,511.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.