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Finding the Fourth Proportional to 36,644.72, 54,971.06 and 11,678.90

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Solution

The fourth proportional to 36,644.72, 54,971.06 and 11,678.90 is: 17,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,644.72 : 54,971.06 = 11,678.90 : x
  2. Step 2: Convert to fraction form
    36,644.72/54,971.06 = 11,678.90/x
  3. Step 3: Cross multiply
    36,644.72x = 54,971.06 × 11,678.90
  4. Step 4: Simplify right side
    36,644.72x = 642,001,512.63
  5. Step 5: Solve for x
    x = 642,001,512.63/36,644.72
  6. Step 6: Final answer
    x = 17,519.62

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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.