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Finding the Fourth Proportional to 11,409, 17,116.38 and 3,201

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Solution

The fourth proportional to 11,409, 17,116.38 and 3,201 is: 4,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409 : 17,116.38 = 3,201 : x
  2. Step 2: Convert to fraction form
    11,409/17,116.38 = 3,201/x
  3. Step 3: Cross multiply
    11,409x = 17,116.38 × 3,201
  4. Step 4: Simplify right side
    11,409x = 54,789,532.38
  5. Step 5: Solve for x
    x = 54,789,532.38/11,409
  6. Step 6: Final answer
    x = 4,802.31

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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.