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Finding the Fourth Proportional to 7,212.80, 10,814.80 and 2,825.20

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Solution

The fourth proportional to 7,212.80, 10,814.80 and 2,825.20 is: 4,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.80 : 10,814.80 = 2,825.20 : x
  2. Step 2: Convert to fraction form
    7,212.80/10,814.80 = 2,825.20/x
  3. Step 3: Cross multiply
    7,212.80x = 10,814.80 × 2,825.20
  4. Step 4: Simplify right side
    7,212.80x = 30,553,972.96
  5. Step 5: Solve for x
    x = 30,553,972.96/7,212.80
  6. Step 6: Final answer
    x = 4,236.08

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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.