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Finding the Fourth Proportional to 2,735.66, 4,103.46 and 1,274

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Solution

The fourth proportional to 2,735.66, 4,103.46 and 1,274 is: 1,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.66 : 4,103.46 = 1,274 : x
  2. Step 2: Convert to fraction form
    2,735.66/4,103.46 = 1,274/x
  3. Step 3: Cross multiply
    2,735.66x = 4,103.46 × 1,274
  4. Step 4: Simplify right side
    2,735.66x = 5,227,808.04
  5. Step 5: Solve for x
    x = 5,227,808.04/2,735.66
  6. Step 6: Final answer
    x = 1,910.99

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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.