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Finding the Fourth Proportional to 6,882, 9,497.38 and 3,857.24

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Solution

The fourth proportional to 6,882, 9,497.38 and 3,857.24 is: 5,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882 : 9,497.38 = 3,857.24 : x
  2. Step 2: Convert to fraction form
    6,882/9,497.38 = 3,857.24/x
  3. Step 3: Cross multiply
    6,882x = 9,497.38 × 3,857.24
  4. Step 4: Simplify right side
    6,882x = 36,633,674.03
  5. Step 5: Solve for x
    x = 36,633,674.03/6,882
  6. Step 6: Final answer
    x = 5,323.11

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1.5x scale

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.