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Finding the Fourth Proportional to 11,919.91, 17,877.42 and 4,893.07

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Solution

The fourth proportional to 11,919.91, 17,877.42 and 4,893.07 is: 7,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.91 : 17,877.42 = 4,893.07 : x
  2. Step 2: Convert to fraction form
    11,919.91/17,877.42 = 4,893.07/x
  3. Step 3: Cross multiply
    11,919.91x = 17,877.42 × 4,893.07
  4. Step 4: Simplify right side
    11,919.91x = 87,475,443.01
  5. Step 5: Solve for x
    x = 87,475,443.01/11,919.91
  6. Step 6: Final answer
    x = 7,338.60

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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.