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Finding the Fourth Proportional to 3,936, 5,431.94 and 2,280

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Solution

The fourth proportional to 3,936, 5,431.94 and 2,280 is: 3,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936 : 5,431.94 = 2,280 : x
  2. Step 2: Convert to fraction form
    3,936/5,431.94 = 2,280/x
  3. Step 3: Cross multiply
    3,936x = 5,431.94 × 2,280
  4. Step 4: Simplify right side
    3,936x = 12,384,823.20
  5. Step 5: Solve for x
    x = 12,384,823.20/3,936
  6. Step 6: Final answer
    x = 3,146.55

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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.