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Finding the Fourth Proportional to 7,277, 10,042.28 and 3,965

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Solution

The fourth proportional to 7,277, 10,042.28 and 3,965 is: 5,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277 : 10,042.28 = 3,965 : x
  2. Step 2: Convert to fraction form
    7,277/10,042.28 = 3,965/x
  3. Step 3: Cross multiply
    7,277x = 10,042.28 × 3,965
  4. Step 4: Simplify right side
    7,277x = 39,817,640.20
  5. Step 5: Solve for x
    x = 39,817,640.20/7,277
  6. Step 6: Final answer
    x = 5,471.71

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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.