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Finding the Fourth Proportional to 3,287.05, 4,934.09 and 1,825.81

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Solution

The fourth proportional to 3,287.05, 4,934.09 and 1,825.81 is: 2,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.05 : 4,934.09 = 1,825.81 : x
  2. Step 2: Convert to fraction form
    3,287.05/4,934.09 = 1,825.81/x
  3. Step 3: Cross multiply
    3,287.05x = 4,934.09 × 1,825.81
  4. Step 4: Simplify right side
    3,287.05x = 9,008,710.86
  5. Step 5: Solve for x
    x = 9,008,710.86/3,287.05
  6. Step 6: Final answer
    x = 2,740.67

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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.