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Finding the Fourth Proportional to 5,489.40, 8,230.46 and 3,025.40

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Solution

The fourth proportional to 5,489.40, 8,230.46 and 3,025.40 is: 4,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.40 : 8,230.46 = 3,025.40 : x
  2. Step 2: Convert to fraction form
    5,489.40/8,230.46 = 3,025.40/x
  3. Step 3: Cross multiply
    5,489.40x = 8,230.46 × 3,025.40
  4. Step 4: Simplify right side
    5,489.40x = 24,900,433.68
  5. Step 5: Solve for x
    x = 24,900,433.68/5,489.40
  6. Step 6: Final answer
    x = 4,536.09

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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.