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Finding the Fourth Proportional to 36,543, 54,816.30 and 11,919

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Solution

The fourth proportional to 36,543, 54,816.30 and 11,919 is: 17,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,543 : 54,816.30 = 11,919 : x
  2. Step 2: Convert to fraction form
    36,543/54,816.30 = 11,919/x
  3. Step 3: Cross multiply
    36,543x = 54,816.30 × 11,919
  4. Step 4: Simplify right side
    36,543x = 653,355,479.70
  5. Step 5: Solve for x
    x = 653,355,479.70/36,543
  6. Step 6: Final answer
    x = 17,879.09

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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.