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Finding the Fourth Proportional to 6,822.30, 10,231.28 and 2,661.30

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Solution

The fourth proportional to 6,822.30, 10,231.28 and 2,661.30 is: 3,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.30 : 10,231.28 = 2,661.30 : x
  2. Step 2: Convert to fraction form
    6,822.30/10,231.28 = 2,661.30/x
  3. Step 3: Cross multiply
    6,822.30x = 10,231.28 × 2,661.30
  4. Step 4: Simplify right side
    6,822.30x = 27,228,502.14
  5. Step 5: Solve for x
    x = 27,228,502.14/6,822.30
  6. Step 6: Final answer
    x = 3,991.10

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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.