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Finding the Fourth Proportional to 2,302.38, 3,453.77 and 636.51

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Solution

The fourth proportional to 2,302.38, 3,453.77 and 636.51 is: 954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.38 : 3,453.77 = 636.51 : x
  2. Step 2: Convert to fraction form
    2,302.38/3,453.77 = 636.51/x
  3. Step 3: Cross multiply
    2,302.38x = 3,453.77 × 636.51
  4. Step 4: Simplify right side
    2,302.38x = 2,198,359.14
  5. Step 5: Solve for x
    x = 2,198,359.14/2,302.38
  6. Step 6: Final answer
    x = 954.82

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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.