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Finding the Fourth Proportional to 6,503.20, 9,757.20 and 2,120.80

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Solution

The fourth proportional to 6,503.20, 9,757.20 and 2,120.80 is: 3,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.20 : 9,757.20 = 2,120.80 : x
  2. Step 2: Convert to fraction form
    6,503.20/9,757.20 = 2,120.80/x
  3. Step 3: Cross multiply
    6,503.20x = 9,757.20 × 2,120.80
  4. Step 4: Simplify right side
    6,503.20x = 20,693,069.76
  5. Step 5: Solve for x
    x = 20,693,069.76/6,503.20
  6. Step 6: Final answer
    x = 3,181.98

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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.