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Finding the Fourth Proportional to 5,136.69, 7,698.02 and 2,793.63

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Solution

The fourth proportional to 5,136.69, 7,698.02 and 2,793.63 is: 4,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.69 : 7,698.02 = 2,793.63 : x
  2. Step 2: Convert to fraction form
    5,136.69/7,698.02 = 2,793.63/x
  3. Step 3: Cross multiply
    5,136.69x = 7,698.02 × 2,793.63
  4. Step 4: Simplify right side
    5,136.69x = 21,505,405.64
  5. Step 5: Solve for x
    x = 21,505,405.64/5,136.69
  6. Step 6: Final answer
    x = 4,186.63

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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.