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Finding the Fourth Proportional to 2,714.62, 4,071.92 and 982.84

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Solution

The fourth proportional to 2,714.62, 4,071.92 and 982.84 is: 1,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.62 : 4,071.92 = 982.84 : x
  2. Step 2: Convert to fraction form
    2,714.62/4,071.92 = 982.84/x
  3. Step 3: Cross multiply
    2,714.62x = 4,071.92 × 982.84
  4. Step 4: Simplify right side
    2,714.62x = 4,002,045.85
  5. Step 5: Solve for x
    x = 4,002,045.85/2,714.62
  6. Step 6: Final answer
    x = 1,474.26

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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.