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Finding the Fourth Proportional to 2,732.64, 3,772.82 and 2,102

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Solution

The fourth proportional to 2,732.64, 3,772.82 and 2,102 is: 2,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.64 : 3,772.82 = 2,102 : x
  2. Step 2: Convert to fraction form
    2,732.64/3,772.82 = 2,102/x
  3. Step 3: Cross multiply
    2,732.64x = 3,772.82 × 2,102
  4. Step 4: Simplify right side
    2,732.64x = 7,930,467.64
  5. Step 5: Solve for x
    x = 7,930,467.64/2,732.64
  6. Step 6: Final answer
    x = 2,902.13

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Why These Related Problems?

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