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Finding the Fourth Proportional to 2,129.84, 3,195.17 and 668.69

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Solution

The fourth proportional to 2,129.84, 3,195.17 and 668.69 is: 1,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.84 : 3,195.17 = 668.69 : x
  2. Step 2: Convert to fraction form
    2,129.84/3,195.17 = 668.69/x
  3. Step 3: Cross multiply
    2,129.84x = 3,195.17 × 668.69
  4. Step 4: Simplify right side
    2,129.84x = 2,136,578.23
  5. Step 5: Solve for x
    x = 2,136,578.23/2,129.84
  6. Step 6: Final answer
    x = 1,003.16

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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.