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Finding the Fourth Proportional to 2,136.71, 3,204.66 and 837.88

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Solution

The fourth proportional to 2,136.71, 3,204.66 and 837.88 is: 1,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.71 : 3,204.66 = 837.88 : x
  2. Step 2: Convert to fraction form
    2,136.71/3,204.66 = 837.88/x
  3. Step 3: Cross multiply
    2,136.71x = 3,204.66 × 837.88
  4. Step 4: Simplify right side
    2,136.71x = 2,685,120.52
  5. Step 5: Solve for x
    x = 2,685,120.52/2,136.71
  6. Step 6: Final answer
    x = 1,256.66

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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.