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Finding the Fourth Proportional to 2,175.14, 3,262.71 and 636.14

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Solution

The fourth proportional to 2,175.14, 3,262.71 and 636.14 is: 954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.14 : 3,262.71 = 636.14 : x
  2. Step 2: Convert to fraction form
    2,175.14/3,262.71 = 636.14/x
  3. Step 3: Cross multiply
    2,175.14x = 3,262.71 × 636.14
  4. Step 4: Simplify right side
    2,175.14x = 2,075,540.34
  5. Step 5: Solve for x
    x = 2,075,540.34/2,175.14
  6. Step 6: Final answer
    x = 954.21

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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.