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Finding the Fourth Proportional to 2,714.91, 4,072.83 and 983.13

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Solution

The fourth proportional to 2,714.91, 4,072.83 and 983.13 is: 1,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.91 : 4,072.83 = 983.13 : x
  2. Step 2: Convert to fraction form
    2,714.91/4,072.83 = 983.13/x
  3. Step 3: Cross multiply
    2,714.91x = 4,072.83 × 983.13
  4. Step 4: Simplify right side
    2,714.91x = 4,004,121.36
  5. Step 5: Solve for x
    x = 4,004,121.36/2,714.91
  6. Step 6: Final answer
    x = 1,474.86

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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.