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Finding the Fourth Proportional to 2,636.38, 3,955.16 and 762.26

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Solution

The fourth proportional to 2,636.38, 3,955.16 and 762.26 is: 1,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.38 : 3,955.16 = 762.26 : x
  2. Step 2: Convert to fraction form
    2,636.38/3,955.16 = 762.26/x
  3. Step 3: Cross multiply
    2,636.38x = 3,955.16 × 762.26
  4. Step 4: Simplify right side
    2,636.38x = 3,014,860.26
  5. Step 5: Solve for x
    x = 3,014,860.26/2,636.38
  6. Step 6: Final answer
    x = 1,143.56

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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.