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Finding the Fourth Proportional to 6,530.84, 9,796.47 and 2,147.80

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Solution

The fourth proportional to 6,530.84, 9,796.47 and 2,147.80 is: 3,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.84 : 9,796.47 = 2,147.80 : x
  2. Step 2: Convert to fraction form
    6,530.84/9,796.47 = 2,147.80/x
  3. Step 3: Cross multiply
    6,530.84x = 9,796.47 × 2,147.80
  4. Step 4: Simplify right side
    6,530.84x = 21,040,858.27
  5. Step 5: Solve for x
    x = 21,040,858.27/6,530.84
  6. Step 6: Final answer
    x = 3,221.77

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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.