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Finding the Fourth Proportional to 2,714.54, 4,071.82 and 662.54

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Solution

The fourth proportional to 2,714.54, 4,071.82 and 662.54 is: 993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.54 : 4,071.82 = 662.54 : x
  2. Step 2: Convert to fraction form
    2,714.54/4,071.82 = 662.54/x
  3. Step 3: Cross multiply
    2,714.54x = 4,071.82 × 662.54
  4. Step 4: Simplify right side
    2,714.54x = 2,697,743.62
  5. Step 5: Solve for x
    x = 2,697,743.62/2,714.54
  6. Step 6: Final answer
    x = 993.81

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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.