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Finding the Fourth Proportional to 3,546.20, 5,310.72 and 3,023.21

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Solution

The fourth proportional to 3,546.20, 5,310.72 and 3,023.21 is: 4,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.20 : 5,310.72 = 3,023.21 : x
  2. Step 2: Convert to fraction form
    3,546.20/5,310.72 = 3,023.21/x
  3. Step 3: Cross multiply
    3,546.20x = 5,310.72 × 3,023.21
  4. Step 4: Simplify right side
    3,546.20x = 16,055,421.81
  5. Step 5: Solve for x
    x = 16,055,421.81/3,546.20
  6. Step 6: Final answer
    x = 4,527.50

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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.