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Finding the Fourth Proportional to 11,966.90, 17,951.03 and 3,647.18

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Solution

The fourth proportional to 11,966.90, 17,951.03 and 3,647.18 is: 5,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.90 : 17,951.03 = 3,647.18 : x
  2. Step 2: Convert to fraction form
    11,966.90/17,951.03 = 3,647.18/x
  3. Step 3: Cross multiply
    11,966.90x = 17,951.03 × 3,647.18
  4. Step 4: Simplify right side
    11,966.90x = 65,470,529.60
  5. Step 5: Solve for x
    x = 65,470,529.60/11,966.90
  6. Step 6: Final answer
    x = 5,470.97

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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.