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Finding the Fourth Proportional to 11,911.16, 17,866.73 and 4,115.72

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Solution

The fourth proportional to 11,911.16, 17,866.73 and 4,115.72 is: 6,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.16 : 17,866.73 = 4,115.72 : x
  2. Step 2: Convert to fraction form
    11,911.16/17,866.73 = 4,115.72/x
  3. Step 3: Cross multiply
    11,911.16x = 17,866.73 × 4,115.72
  4. Step 4: Simplify right side
    11,911.16x = 73,534,378.95
  5. Step 5: Solve for x
    x = 73,534,378.95/11,911.16
  6. Step 6: Final answer
    x = 6,173.57

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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.