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Finding the Fourth Proportional to 6,642.72, 9,964.20 and 2,744.40

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Solution

The fourth proportional to 6,642.72, 9,964.20 and 2,744.40 is: 4,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.72 : 9,964.20 = 2,744.40 : x
  2. Step 2: Convert to fraction form
    6,642.72/9,964.20 = 2,744.40/x
  3. Step 3: Cross multiply
    6,642.72x = 9,964.20 × 2,744.40
  4. Step 4: Simplify right side
    6,642.72x = 27,345,750.48
  5. Step 5: Solve for x
    x = 27,345,750.48/6,642.72
  6. Step 6: Final answer
    x = 4,116.65

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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.