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Finding the Fourth Proportional to 2,702.57, 3,729.56 and 1,523.64

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Solution

The fourth proportional to 2,702.57, 3,729.56 and 1,523.64 is: 2,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.57 : 3,729.56 = 1,523.64 : x
  2. Step 2: Convert to fraction form
    2,702.57/3,729.56 = 1,523.64/x
  3. Step 3: Cross multiply
    2,702.57x = 3,729.56 × 1,523.64
  4. Step 4: Simplify right side
    2,702.57x = 5,682,499.18
  5. Step 5: Solve for x
    x = 5,682,499.18/2,702.57
  6. Step 6: Final answer
    x = 2,102.63

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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.