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Finding the Fourth Proportional to 6,138.69, 9,200.74 and 3,636.39

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Solution

The fourth proportional to 6,138.69, 9,200.74 and 3,636.39 is: 5,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.69 : 9,200.74 = 3,636.39 : x
  2. Step 2: Convert to fraction form
    6,138.69/9,200.74 = 3,636.39/x
  3. Step 3: Cross multiply
    6,138.69x = 9,200.74 × 3,636.39
  4. Step 4: Simplify right side
    6,138.69x = 33,457,511.16
  5. Step 5: Solve for x
    x = 33,457,511.16/6,138.69
  6. Step 6: Final answer
    x = 5,450.27

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1.5x scale

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.