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Finding the Fourth Proportional to 2,136.74, 3,204.84 and 576.86

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Solution

The fourth proportional to 2,136.74, 3,204.84 and 576.86 is: 865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.74 : 3,204.84 = 576.86 : x
  2. Step 2: Convert to fraction form
    2,136.74/3,204.84 = 576.86/x
  3. Step 3: Cross multiply
    2,136.74x = 3,204.84 × 576.86
  4. Step 4: Simplify right side
    2,136.74x = 1,848,744.00
  5. Step 5: Solve for x
    x = 1,848,744.00/2,136.74
  6. Step 6: Final answer
    x = 865.22

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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.