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Finding the Fourth Proportional to 6,726, 9,281.88 and 3,932.04

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Solution

The fourth proportional to 6,726, 9,281.88 and 3,932.04 is: 5,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726 : 9,281.88 = 3,932.04 : x
  2. Step 2: Convert to fraction form
    6,726/9,281.88 = 3,932.04/x
  3. Step 3: Cross multiply
    6,726x = 9,281.88 × 3,932.04
  4. Step 4: Simplify right side
    6,726x = 36,496,723.44
  5. Step 5: Solve for x
    x = 36,496,723.44/6,726
  6. Step 6: Final answer
    x = 5,426.22

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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.