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Finding the Fourth Proportional to 5,179.81, 7,772.03 and 2,714.06

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Solution

The fourth proportional to 5,179.81, 7,772.03 and 2,714.06 is: 4,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.81 : 7,772.03 = 2,714.06 : x
  2. Step 2: Convert to fraction form
    5,179.81/7,772.03 = 2,714.06/x
  3. Step 3: Cross multiply
    5,179.81x = 7,772.03 × 2,714.06
  4. Step 4: Simplify right side
    5,179.81x = 21,093,786.79
  5. Step 5: Solve for x
    x = 21,093,786.79/5,179.81
  6. Step 6: Final answer
    x = 4,072.31

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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.