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Finding the Fourth Proportional to 7,269.96, 10,907.10 and 3,109.80

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Solution

The fourth proportional to 7,269.96, 10,907.10 and 3,109.80 is: 4,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.96 : 10,907.10 = 3,109.80 : x
  2. Step 2: Convert to fraction form
    7,269.96/10,907.10 = 3,109.80/x
  3. Step 3: Cross multiply
    7,269.96x = 10,907.10 × 3,109.80
  4. Step 4: Simplify right side
    7,269.96x = 33,918,899.58
  5. Step 5: Solve for x
    x = 33,918,899.58/7,269.96
  6. Step 6: Final answer
    x = 4,665.62

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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.