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Finding the Fourth Proportional to 6,564.81, 9,845.09 and 2,181.09

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Solution

The fourth proportional to 6,564.81, 9,845.09 and 2,181.09 is: 3,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.81 : 9,845.09 = 2,181.09 : x
  2. Step 2: Convert to fraction form
    6,564.81/9,845.09 = 2,181.09/x
  3. Step 3: Cross multiply
    6,564.81x = 9,845.09 × 2,181.09
  4. Step 4: Simplify right side
    6,564.81x = 21,473,016.44
  5. Step 5: Solve for x
    x = 21,473,016.44/6,564.81
  6. Step 6: Final answer
    x = 3,270.93

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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.