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Finding the Fourth Proportional to 2,702.05, 3,728.70 and 1,523.09

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Solution

The fourth proportional to 2,702.05, 3,728.70 and 1,523.09 is: 2,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.05 : 3,728.70 = 1,523.09 : x
  2. Step 2: Convert to fraction form
    2,702.05/3,728.70 = 1,523.09/x
  3. Step 3: Cross multiply
    2,702.05x = 3,728.70 × 1,523.09
  4. Step 4: Simplify right side
    2,702.05x = 5,679,145.68
  5. Step 5: Solve for x
    x = 5,679,145.68/2,702.05
  6. Step 6: Final answer
    x = 2,101.79

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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.