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Finding the Fourth Proportional to 7,200, 10,791.84 and 2,815.68

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Solution

The fourth proportional to 7,200, 10,791.84 and 2,815.68 is: 4,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200 : 10,791.84 = 2,815.68 : x
  2. Step 2: Convert to fraction form
    7,200/10,791.84 = 2,815.68/x
  3. Step 3: Cross multiply
    7,200x = 10,791.84 × 2,815.68
  4. Step 4: Simplify right side
    7,200x = 30,386,368.05
  5. Step 5: Solve for x
    x = 30,386,368.05/7,200
  6. Step 6: Final answer
    x = 4,220.33

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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.