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Finding the Fourth Proportional to 11,911.16, 17,866.92 and 4,512.08

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Solution

The fourth proportional to 11,911.16, 17,866.92 and 4,512.08 is: 6,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.16 : 17,866.92 = 4,512.08 : x
  2. Step 2: Convert to fraction form
    11,911.16/17,866.92 = 4,512.08/x
  3. Step 3: Cross multiply
    11,911.16x = 17,866.92 × 4,512.08
  4. Step 4: Simplify right side
    11,911.16x = 80,616,972.39
  5. Step 5: Solve for x
    x = 80,616,972.39/11,911.16
  6. Step 6: Final answer
    x = 6,768.19

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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.