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Finding the Fourth Proportional to 2,691.57, 3,714.58 and 1,512.82

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Solution

The fourth proportional to 2,691.57, 3,714.58 and 1,512.82 is: 2,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.57 : 3,714.58 = 1,512.82 : x
  2. Step 2: Convert to fraction form
    2,691.57/3,714.58 = 1,512.82/x
  3. Step 3: Cross multiply
    2,691.57x = 3,714.58 × 1,512.82
  4. Step 4: Simplify right side
    2,691.57x = 5,619,488.94
  5. Step 5: Solve for x
    x = 5,619,488.94/2,691.57
  6. Step 6: Final answer
    x = 2,087.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.