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Finding the Fourth Proportional to 6,720.40, 10,084.20 and 3,023.20

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Solution

The fourth proportional to 6,720.40, 10,084.20 and 3,023.20 is: 4,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.40 : 10,084.20 = 3,023.20 : x
  2. Step 2: Convert to fraction form
    6,720.40/10,084.20 = 3,023.20/x
  3. Step 3: Cross multiply
    6,720.40x = 10,084.20 × 3,023.20
  4. Step 4: Simplify right side
    6,720.40x = 30,486,553.44
  5. Step 5: Solve for x
    x = 30,486,553.44/6,720.40
  6. Step 6: Final answer
    x = 4,536.42

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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.