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Finding the Fourth Proportional to 2,136.78, 3,204.90 and 576.86

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Solution

The fourth proportional to 2,136.78, 3,204.90 and 576.86 is: 865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.78 : 3,204.90 = 576.86 : x
  2. Step 2: Convert to fraction form
    2,136.78/3,204.90 = 576.86/x
  3. Step 3: Cross multiply
    2,136.78x = 3,204.90 × 576.86
  4. Step 4: Simplify right side
    2,136.78x = 1,848,762.59
  5. Step 5: Solve for x
    x = 1,848,762.59/2,136.78
  6. Step 6: Final answer
    x = 865.21

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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.