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Finding the Fourth Proportional to 11,971.92, 17,957.97 and 4,180.74

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Solution

The fourth proportional to 11,971.92, 17,957.97 and 4,180.74 is: 6,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.92 : 17,957.97 = 4,180.74 : x
  2. Step 2: Convert to fraction form
    11,971.92/17,957.97 = 4,180.74/x
  3. Step 3: Cross multiply
    11,971.92x = 17,957.97 × 4,180.74
  4. Step 4: Simplify right side
    11,971.92x = 75,077,603.50
  5. Step 5: Solve for x
    x = 75,077,603.50/11,971.92
  6. Step 6: Final answer
    x = 6,271.14

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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.