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Finding the Fourth Proportional to 5,714.75, 8,559.83 and 2,786.91

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Solution

The fourth proportional to 5,714.75, 8,559.83 and 2,786.91 is: 4,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.75 : 8,559.83 = 2,786.91 : x
  2. Step 2: Convert to fraction form
    5,714.75/8,559.83 = 2,786.91/x
  3. Step 3: Cross multiply
    5,714.75x = 8,559.83 × 2,786.91
  4. Step 4: Simplify right side
    5,714.75x = 23,855,435.02
  5. Step 5: Solve for x
    x = 23,855,435.02/5,714.75
  6. Step 6: Final answer
    x = 4,174.36

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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.