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Finding the Fourth Proportional to 2,702.27, 3,728.90 and 1,523.63

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Solution

The fourth proportional to 2,702.27, 3,728.90 and 1,523.63 is: 2,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.27 : 3,728.90 = 1,523.63 : x
  2. Step 2: Convert to fraction form
    2,702.27/3,728.90 = 1,523.63/x
  3. Step 3: Cross multiply
    2,702.27x = 3,728.90 × 1,523.63
  4. Step 4: Simplify right side
    2,702.27x = 5,681,437.64
  5. Step 5: Solve for x
    x = 5,681,437.64/2,702.27
  6. Step 6: Final answer
    x = 2,102.47

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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.