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Finding the Fourth Proportional to 11,916.75, 17,877.21 and 4,900.64

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Solution

The fourth proportional to 11,916.75, 17,877.21 and 4,900.64 is: 7,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.75 : 17,877.21 = 4,900.64 : x
  2. Step 2: Convert to fraction form
    11,916.75/17,877.21 = 4,900.64/x
  3. Step 3: Cross multiply
    11,916.75x = 17,877.21 × 4,900.64
  4. Step 4: Simplify right side
    11,916.75x = 87,609,662.65
  5. Step 5: Solve for x
    x = 87,609,662.65/11,916.75
  6. Step 6: Final answer
    x = 7,351.81

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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.