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Finding the Fourth Proportional to 2,128.65, 3,192.95 and 667.82

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Solution

The fourth proportional to 2,128.65, 3,192.95 and 667.82 is: 1,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.65 : 3,192.95 = 667.82 : x
  2. Step 2: Convert to fraction form
    2,128.65/3,192.95 = 667.82/x
  3. Step 3: Cross multiply
    2,128.65x = 3,192.95 × 667.82
  4. Step 4: Simplify right side
    2,128.65x = 2,132,296.57
  5. Step 5: Solve for x
    x = 2,132,296.57/2,128.65
  6. Step 6: Final answer
    x = 1,001.71

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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.