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Finding the Fourth Proportional to 6,640, 9,163.16 and 3,656

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Solution

The fourth proportional to 6,640, 9,163.16 and 3,656 is: 5,045.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640 : 9,163.16 = 3,656 : x
  2. Step 2: Convert to fraction form
    6,640/9,163.16 = 3,656/x
  3. Step 3: Cross multiply
    6,640x = 9,163.16 × 3,656
  4. Step 4: Simplify right side
    6,640x = 33,500,512.96
  5. Step 5: Solve for x
    x = 33,500,512.96/6,640
  6. Step 6: Final answer
    x = 5,045.26

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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.