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Finding the Fourth Proportional to 11,980.97, 17,971.49 and 4,187.96

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Solution

The fourth proportional to 11,980.97, 17,971.49 and 4,187.96 is: 6,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.97 : 17,971.49 = 4,187.96 : x
  2. Step 2: Convert to fraction form
    11,980.97/17,971.49 = 4,187.96/x
  3. Step 3: Cross multiply
    11,980.97x = 17,971.49 × 4,187.96
  4. Step 4: Simplify right side
    11,980.97x = 75,263,881.26
  5. Step 5: Solve for x
    x = 75,263,881.26/11,980.97
  6. Step 6: Final answer
    x = 6,281.95

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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.