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Finding the Fourth Proportional to 7,200.54, 10,800.78 and 2,270.60

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Solution

The fourth proportional to 7,200.54, 10,800.78 and 2,270.60 is: 3,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.54 : 10,800.78 = 2,270.60 : x
  2. Step 2: Convert to fraction form
    7,200.54/10,800.78 = 2,270.60/x
  3. Step 3: Cross multiply
    7,200.54x = 10,800.78 × 2,270.60
  4. Step 4: Simplify right side
    7,200.54x = 24,524,251.07
  5. Step 5: Solve for x
    x = 24,524,251.07/7,200.54
  6. Step 6: Final answer
    x = 3,405.89

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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.