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Finding the Fourth Proportional to 2,141.26, 3,212 and 602.38

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Solution

The fourth proportional to 2,141.26, 3,212 and 602.38 is: 903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.26 : 3,212 = 602.38 : x
  2. Step 2: Convert to fraction form
    2,141.26/3,212 = 602.38/x
  3. Step 3: Cross multiply
    2,141.26x = 3,212 × 602.38
  4. Step 4: Simplify right side
    2,141.26x = 1,934,844.56
  5. Step 5: Solve for x
    x = 1,934,844.56/2,141.26
  6. Step 6: Final answer
    x = 903.60

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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.