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Finding the Fourth Proportional to 7,200.54, 10,785.15 and 3,494.97

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Solution

The fourth proportional to 7,200.54, 10,785.15 and 3,494.97 is: 5,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.54 : 10,785.15 = 3,494.97 : x
  2. Step 2: Convert to fraction form
    7,200.54/10,785.15 = 3,494.97/x
  3. Step 3: Cross multiply
    7,200.54x = 10,785.15 × 3,494.97
  4. Step 4: Simplify right side
    7,200.54x = 37,693,775.70
  5. Step 5: Solve for x
    x = 37,693,775.70/7,200.54
  6. Step 6: Final answer
    x = 5,234.85

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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.