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Finding the Fourth Proportional to 2,645.46, 3,968.46 and 2,634.66

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Solution

The fourth proportional to 2,645.46, 3,968.46 and 2,634.66 is: 3,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.46 : 3,968.46 = 2,634.66 : x
  2. Step 2: Convert to fraction form
    2,645.46/3,968.46 = 2,634.66/x
  3. Step 3: Cross multiply
    2,645.46x = 3,968.46 × 2,634.66
  4. Step 4: Simplify right side
    2,645.46x = 10,455,542.82
  5. Step 5: Solve for x
    x = 10,455,542.82/2,645.46
  6. Step 6: Final answer
    x = 3,952.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.