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Finding the Fourth Proportional to 6,540.80, 9,796.80 and 2,643.20

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Solution

The fourth proportional to 6,540.80, 9,796.80 and 2,643.20 is: 3,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.80 : 9,796.80 = 2,643.20 : x
  2. Step 2: Convert to fraction form
    6,540.80/9,796.80 = 2,643.20/x
  3. Step 3: Cross multiply
    6,540.80x = 9,796.80 × 2,643.20
  4. Step 4: Simplify right side
    6,540.80x = 25,894,901.76
  5. Step 5: Solve for x
    x = 25,894,901.76/6,540.80
  6. Step 6: Final answer
    x = 3,958.98

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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.