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Finding the Fourth Proportional to 36,541, 54,813.30 and 11,917

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Solution

The fourth proportional to 36,541, 54,813.30 and 11,917 is: 17,876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,541 : 54,813.30 = 11,917 : x
  2. Step 2: Convert to fraction form
    36,541/54,813.30 = 11,917/x
  3. Step 3: Cross multiply
    36,541x = 54,813.30 × 11,917
  4. Step 4: Simplify right side
    36,541x = 653,210,096.10
  5. Step 5: Solve for x
    x = 653,210,096.10/36,541
  6. Step 6: Final answer
    x = 17,876.09

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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.