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Finding the Fourth Proportional to 3,728.72, 5,146.44 and 2,486

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Solution

The fourth proportional to 3,728.72, 5,146.44 and 2,486 is: 3,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.72 : 5,146.44 = 2,486 : x
  2. Step 2: Convert to fraction form
    3,728.72/5,146.44 = 2,486/x
  3. Step 3: Cross multiply
    3,728.72x = 5,146.44 × 2,486
  4. Step 4: Simplify right side
    3,728.72x = 12,794,049.84
  5. Step 5: Solve for x
    x = 12,794,049.84/3,728.72
  6. Step 6: Final answer
    x = 3,431.22

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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.