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Finding the Fourth Proportional to 6,722, 9,276.72 and 3,929.12

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Solution

The fourth proportional to 6,722, 9,276.72 and 3,929.12 is: 5,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722 : 9,276.72 = 3,929.12 : x
  2. Step 2: Convert to fraction form
    6,722/9,276.72 = 3,929.12/x
  3. Step 3: Cross multiply
    6,722x = 9,276.72 × 3,929.12
  4. Step 4: Simplify right side
    6,722x = 36,449,346.09
  5. Step 5: Solve for x
    x = 36,449,346.09/6,722
  6. Step 6: Final answer
    x = 5,422.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.