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Finding the Fourth Proportional to 5,714.88, 8,575.52 and 3,120.64

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Solution

The fourth proportional to 5,714.88, 8,575.52 and 3,120.64 is: 4,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.88 : 8,575.52 = 3,120.64 : x
  2. Step 2: Convert to fraction form
    5,714.88/8,575.52 = 3,120.64/x
  3. Step 3: Cross multiply
    5,714.88x = 8,575.52 × 3,120.64
  4. Step 4: Simplify right side
    5,714.88x = 26,761,110.73
  5. Step 5: Solve for x
    x = 26,761,110.73/5,714.88
  6. Step 6: Final answer
    x = 4,682.71

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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.